Fill in the given fractions and add the missing fractions onto your wall. Fill in >, <, or = to make the following true. Use the fraction wall to help you. True or false? Write these fractions in order from biggest to smallest. Write these fractions in order from smallest to biggest.

Question

Asked on July 29, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-07-29T15:49:10.273Z

2. Fill in >, < or = to make the following true. a) (1)/(5) \_ (1)/(3) Step 1: Compare the denominators of the unit fractions. Since 5 > 3, the fraction with the smaller denominator is larger. (1)/(5) < (1)/(3) b) (3)/(4) \_ (4)/(5) Step 1: Find a common denominator, which is 20. (3)/(4) = (15)/(20) and (4)/(5) = (16)/(20) Step 2: Compare the fractions. (15)/(20) < (16)/(20) (3)/(4) < (4)/(5) c) (4)/(8) \_ (1)/(2) Step 1: Simplify the fraction (4)/(8). (4)/(8) = (1)/(2) Step 2: Compare the fractions. (1)/(2) = (1)/(2) (4)/(8) = (1)/(2) d) (5)/(6) \_ (4)/(5) Step 1: Find a common denominator, which is 30. (5)/(6) = (25)/(30) and (4)/(5) = (24)/(30) Step 2: Compare the fractions. (25)/(30) > (24)/(30) (5)/(6) > (4)/(5) e) (3)/(7) \_ (2)/(3) Step 1: Find a common denominator, which is 21. (3)/(7) = (9)/(21) and (2)/(3) = (14)/(21) Step 2: Compare the fractions. (9)/(21) < (14)/(21) (3)/(7) < (2)/(3) f) (1)/(3) \_ (1)/(4) Step 1: Compare the denominators of the unit fractions. Since 3 < 4, the fraction with the smaller denominator is larger. (1)/(3) > (1)/(4) g) (5)/(7) \_ (2)/(5) Step 1: Find a common denominator, which is 35. (5)/(7) = (25)/(35) and (2)/(5) = (14)/(35) Step 2: Compare the fractions. (25)/(35) > (14)/(35) (5)/(7) > (2)/(5) h) (3)/(4) \_ (4)/(6) Step 1: Simplify (4)/(6) to (2)/(3). Step 2: Find a common denominator for (3)/(4) and (2)/(3), which is 12. (3)/(4) = (9)/(12) and (2)/(3) = (8)/(12) Step 3: Compare the fractions. (9)/(12) > (8)/(12) (3)/(4) > (4)/(6) 3. True or false? a) (2)/(3) = (2)/(5) Step 1: Compare the fractions. Since the denominators are different and the numerators are the same, the fractions are not equal. False b) (6)/(7) > (4)/(5) Step 1: Find a common denominator, which is 35. (6)/(7) = (30)/(35) and (4)/(5) = (28)/(35) Step 2: Compare the fractions. (30)/(35) > (28)/(35). True c) (1)/(2) = (4)/(8) Step 1: Simplify (4)/(8). (4)/(8) = (1)/(2) Step 2: Compare the fractions. (1)/(2) = (1)/(2). True d) (1)/(6) < (1)/(7) Step 1: Compare the denominators of the unit fractions. Since 6 < 7, (1)/(6) is greater than (1)/(7). False e) (4)/(5) < 1 Step 1: Compare the numerator and denominator. Since 4 < 5, the fraction is less than 1. True f) (3)/(4) < (2)/(3) Step 1: Find a common denominator, which is 12. (3)/(4) = (9)/(12) and (2)/(3) = (8)/(12) Step 2: Compare the fractions. (9)/(12) is not less than (8)/(12). False g) (3)/(6) > (4)/(7) Step 1: Simplify (3)/(6) to (1)/(2). Step 2: Find a common denominator for (1)/(2) and (4)/(7), which is 14. (1)/(2) = (7)/(14) and (4)/(7) = (8)/(14) Step 3: Compare the fractions. (7)/(14) is not greater than (8)/(14). False h) (1)/(3) = (2)/(8) Step 1: Simplify (2)/(8). (2)/(8) = (1)/(4) Step 2: Compare the fractions. (1)/(3) is not equal to (1)/(4). False 4. Write these fractions in order from biggest to smallest. Fractions: (1)/(3), (1)/(5), (1)/(2), (1)/(8), (1)/(6), (1)/(4), (1)/(7) Step 1: These are unit fractions. For unit fractions, the smaller the denominator, the larger the fraction. Step 2: Order the denominators from smallest to largest: 2, 3, 4, 5, 6, 7, 8. Step 3: Write the fractions in the corresponding order from biggest to smallest. (1)/(2), (1)/(3), (1)/(4), (1)/(5), (1)/(6), (1)/(7), (1)/(8) 5. Write these fractions in order from smallest to biggest. Fractions: (3)/(8), (2)/(7), (4)/(5), (4)/(6), (1)/(2), (3)/(4), (1)/(3) Step 1: Convert each fraction to a decimal for easier comparison. (3)/(8) = 0.375 (2)/(7) ≈ 0.2857 (4)/(5) = 0.8 (4)/(6) ≈ 0.6667 (1)/(2) = 0.5 (3)/(4) = 0.75 (1)/(3) ≈ 0.3333 Step 2: Order the decimal values from smallest to biggest. 0.2857, 0.3333, 0.375, 0.5, 0.6667, 0.75, 0.8 Step 3: Write the original fractions in the corresponding order from smallest to biggest. (2)/(7), (1)/(3), (3)/(8), (1)/(2), (4)/(6), (3)/(4), (4)/(5) Send me the next one 📸

Accepted Answer · 2026-07-29T15:49:10.273Z

2. Fill in >, < or = to make the following true. a) (1)/(5) \_ (1)/(3) Step 1: Compare the denominators of the unit fractions. Since 5 > 3, the fraction with the smaller denominator is larger. (1)/(5) < (1)/(3) b) (3)/(4) \_ (4)/(5) Step 1: Find a common denominator, which is 20. (3)/(4) = (15)/(20) and (4)/(5) = (16)/(20) Step 2: Compare the fractions. (15)/(20) < (16)/(20) (3)/(4) < (4)/(5) c) (4)/(8) \_ (1)/(2) Step 1: Simplify the fraction (4)/(8). (4)/(8) = (1)/(2) Step 2: Compare the fractions. (1)/(2) = (1)/(2) (4)/(8) = (1)/(2) d) (5)/(6) \_ (4)/(5) Step 1: Find a common denominator, which is 30. (5)/(6) = (25)/(30) and (4)/(5) = (24)/(30) Step 2: Compare the fractions. (25)/(30) > (24)/(30) (5)/(6) > (4)/(5) e) (3)/(7) \_ (2)/(3) Step 1: Find a common denominator, which is 21. (3)/(7) = (9)/(21) and (2)/(3) = (14)/(21) Step 2: Compare the fractions. (9)/(21) < (14)/(21) (3)/(7) < (2)/(3) f) (1)/(3) \_ (1)/(4) Step 1: Compare the denominators of the unit fractions. Since 3 < 4, the fraction with the smaller denominator is larger. (1)/(3) > (1)/(4) g) (5)/(7) \_ (2)/(5) Step 1: Find a common denominator, which is 35. (5)/(7) = (25)/(35) and (2)/(5) = (14)/(35) Step 2: Compare the fractions. (25)/(35) > (14)/(35) (5)/(7) > (2)/(5) h) (3)/(4) \_ (4)/(6) Step 1: Simplify (4)/(6) to (2)/(3). Step 2: Find a common denominator for (3)/(4) and (2)/(3), which is 12. (3)/(4) = (9)/(12) and (2)/(3) = (8)/(12) Step 3: Compare the fractions. (9)/(12) > (8)/(12) (3)/(4) > (4)/(6) 3. True or false? a) (2)/(3) = (2)/(5) Step 1: Compare the fractions. Since the denominators are different and the numerators are the same, the fractions are not equal. False b) (6)/(7) > (4)/(5) Step 1: Find a common denominator, which is 35. (6)/(7) = (30)/(35) and (4)/(5) = (28)/(35) Step 2: Compare the fractions. (30)/(35) > (28)/(35). True c) (1)/(2) = (4)/(8) Step 1: Simplify (4)/(8). (4)/(8) = (1)/(2) Step 2: Compare the fractions. (1)/(2) = (1)/(2). True d) (1)/(6) < (1)/(7) Step 1: Compare the denominators of the unit fractions. Since 6 < 7, (1)/(6) is greater than (1)/(7). False e) (4)/(5) < 1 Step 1: Compare the numerator and denominator. Since 4 < 5, the fraction is less than 1. True f) (3)/(4) < (2)/(3) Step 1: Find a common denominator, which is 12. (3)/(4) = (9)/(12) and (2)/(3) = (8)/(12) Step 2: Compare the fractions. (9)/(12) is not less than (8)/(12). False g) (3)/(6) > (4)/(7) Step 1: Simplify (3)/(6) to (1)/(2). Step 2: Find a common denominator for (1)/(2) and (4)/(7), which is 14. (1)/(2) = (7)/(14) and (4)/(7) = (8)/(14) Step 3: Compare the fractions. (7)/(14) is not greater than (8)/(14). False h) (1)/(3) = (2)/(8) Step 1: Simplify (2)/(8). (2)/(8) = (1)/(4) Step 2: Compare the fractions. (1)/(3) is not equal to (1)/(4). False 4. Write these fractions in order from biggest to smallest. Fractions: (1)/(3), (1)/(5), (1)/(2), (1)/(8), (1)/(6), (1)/(4), (1)/(7) Step 1: These are unit fractions. For unit fractions, the smaller the denominator, the larger the fraction. Step 2: Order the denominators from smallest to largest: 2, 3, 4, 5, 6, 7, 8. Step 3: Write the fractions in the corresponding order from biggest to smallest. (1)/(2), (1)/(3), (1)/(4), (1)/(5), (1)/(6), (1)/(7), (1)/(8) 5. Write these fractions in order from smallest to biggest. Fractions: (3)/(8), (2)/(7), (4)/(5), (4)/(6), (1)/(2), (3)/(4), (1)/(3) Step 1: Convert each fraction to a decimal for easier comparison. (3)/(8) = 0.375 (2)/(7) ≈ 0.2857 (4)/(5) = 0.8 (4)/(6) ≈ 0.6667 (1)/(2) = 0.5 (3)/(4) = 0.75 (1)/(3) ≈ 0.3333 Step 2: Order the decimal values from smallest to biggest. 0.2857, 0.3333, 0.375, 0.5, 0.6667, 0.75, 0.8 Step 3: Write the original fractions in the corresponding order from smallest to biggest. (2)/(7), (1)/(3), (3)/(8), (1)/(2), (4)/(6), (3)/(4), (4)/(5) Send me the next one 📸

Fill in the given fractions and add the missing fractions onto your wall. Fill in >, <, or = to make the following true. Use the fraction wall to help you. True or false? Write these fractions in order from biggest to smallest. Write these fractions in order from smallest to biggest.

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Fill in the given fractions and add the missing fractions onto your wall. Fill in >, <, or = to make the following true. Use the fraction wall to help you. True or false? Write these fractions in order from biggest to smallest. Write these fractions in order from smallest to biggest.

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