Shade the areas correctly to show the fractions.

Mathematics
Shade the areas correctly to show the fractions.

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Answer

720\frac{7}{20}

Here are the solutions for the remaining problems:

6. Step 1: Find a common denominator for 710\frac{7}{10}, 1530\frac{15}{30}, and 320\frac{3}{20}. The least common multiple of 10, 30, and 20 is 60. 710−1530+320=7×610×6−15×230×2+3×320×3\frac{7}{10} - \frac{15}{30} + \frac{3}{20} = \frac{7 \times 6}{10 \times 6} - \frac{15 \times 2}{30 \times 2} + \frac{3 \times 3}{20 \times 3} Step 2: Perform the operations. =4260−3060+960=42−30+960=12+960=2160= \frac{42}{60} - \frac{30}{60} + \frac{9}{60} = \frac{42 - 30 + 9}{60} = \frac{12 + 9}{60} = \frac{21}{60} Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3. =21÷360÷3=720= \frac{21 \div 3}{60 \div 3} = \frac{7}{20} The final answer is 720\boxed{\frac{7}{20}}.

7. Step 1: Find a common denominator for 514\frac{5}{14}, 328\frac{3}{28}, and 34\frac{3}{4}. The least common multiple of 14, 28, and 4 is 28. 514−328+34=5×214×2−328+3×74×7\frac{5}{14} - \frac{3}{28} + \frac{3}{4} = \frac{5 \times 2}{14 \times 2} - \frac{3}{28} + \frac{3 \times 7}{4 \times 7} Step 2: Perform the operations. =1028−328+2128=10−3+2128=7+2128=2828= \frac{10}{28} - \frac{3}{28} + \frac{21}{28} = \frac{10 - 3 + 21}{28} = \frac{7 + 21}{28} = \frac{28}{28} Step 3: Simplify the fraction. =1= 1 The final answer is 1\boxed{1}.

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Quick Answer

6. Step 1: Find a common denominator for (7)/(10), (15)/(30), and (3)/(20).

Shade the areas correctly to show the fractions.
Mathematics

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.

ScanSolve AI Answer
Here are the solutions for the remaining problems: 6. Step 1: Find a common denominator for (7)/(10), (15)/(30), and (3)/(20). The least common multiple of 10, 30, and 20 is 60. (7)/(10) - (15)/(30) + (3)/(20) = (7 × 6)/(10 × 6) - (15 × 2)/(30 × 2) + (3 × 3)/(20 × 3) Step 2: Perform the operations. = (42)/(60) - (30)/(60) + (9)/(60) = (42 - 30 + 9)/(60) = (12 + 9)/(60) = (21)/(60) Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3. = (21 ÷ 3)/(60 ÷ 3) = (7)/(20) The final answer is (7)/(20). 7. Step 1: Find a common denominator for (5)/(14), (3)/(28), and (3)/(4). The least common multiple of 14, 28, and 4 is 28. (5)/(14) - (3)/(28) + (3)/(4) = (5 × 2)/(14 × 2) - (3)/(28) + (3 × 7)/(4 × 7) Step 2: Perform the operations. = (10)/(28) - (3)/(28) + (21)/(28) = (10 - 3 + 21)/(28) = (7 + 21)/(28) = (28)/(28) Step 3: Simplify the fraction. = 1 The final answer is 1. That's 2 down. 3 left today — send the next one.