Write these fractions in words. a) 5/8 = b) 7/10 = c) 9/12 = 2. Complete the equivalent fractions. a) 2/3 = /6 b) 3/5 = /10 c) 4/7 = /14 3. Compare the fractions using <, > or =. a) 5/8 7/8 b) 3/4 6/8 c) 2/6 2/3

Mathematics
Write these fractions in words. a) 5/8 = b) 7/10 = c) 9/12 = 2. Complete the equivalent fractions. a) 2/3 = /6 b) 3/5 = /10 c) 4/7 = /14 3. Compare the fractions using <, > or =. a) 5/8 7/8 b) 3/4 6/8 c) 2/6 2/3

ScanSolve AI Answer

1. Write these fractions in words. a) 58\frac{5}{8} Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 5, and the denominator is 8 (eighths). Fiveeighths\boxed{Five-eighths}

b) 710\frac{7}{10} Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 7, and the denominator is 10 (tenths). Seventenths\boxed{Seven-tenths}

c) 912\frac{9}{12} Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 9, and the denominator is 12 (twelfths). Ninetwelfths\boxed{Nine-twelfths}

2. Complete the equivalent fractions. a) \frac{2}{3} = \frac{_}{6} Step 1: Determine the factor by which the denominator was multiplied. 3×2=63 \times 2 = 6 Step 2: Multiply the numerator by the same factor. 2×2=42 \times 2 = 4 So, 23=46\frac{2}{3} = \frac{4}{6}. 4\boxed{4}

b) \frac{3}{5} = \frac{_}{10} Step 1: Determine the factor by which the denominator was multiplied. 5×2=105 \times 2 = 10 Step 2: Multiply the numerator by the same factor. 3×2=63 \times 2 = 6 So, 35=610\frac{3}{5} = \frac{6}{10}. 6\boxed{6}

c) \frac{4}{7} = \frac{_}{14} Step 1: Determine the factor by which the denominator was multiplied. 7×2=147 \times 2 = 14 Step 2: Multiply the numerator by the same factor. 4×2=84 \times 2 = 8 So, 47=814\frac{4}{7} = \frac{8}{14}. 8\boxed{8}

3. Compare the fractions using <,>,<, >, or ==. a) 58___78\frac{5}{8} \_\_\_ \frac{7}{8} Step 1: Compare the numerators since the denominators are the same. 5<75 < 7 Therefore, 58<78\frac{5}{8} < \frac{7}{8}. <\boxed{<}

b) 34___68\frac{3}{4} \_\_\_ \frac{6}{8} Step 1: Find a common denominator. The least common denominator for 4 and 8 is 8. Step 2: Convert 34\frac{3}{4} to an equivalent fraction with a denominator of 8. 34=3×24×2=68\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} Step 3: Compare the equivalent fractions. 68=68\frac{6}{8} = \frac{6}{8} Therefore, 34=68\frac{3}{4} = \frac{6}{8}. =\boxed{=}

c) 26___23\frac{2}{6} \_\_\_ \frac{2}{3} Step 1: Find a common denominator. The least common denominator for 6 and 3 is 6. Step 2: Convert 23\frac{2}{3} to an equivalent fraction with a denominator of 6. 23=2×23×2=46\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} Step 3: Compare the equivalent fractions. 26<46\frac{2}{6} < \frac{4}{6} Therefore, 26<23\frac{2}{6} < \frac{2}{3}. <\boxed{<}

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