Question

grade 5 fractie
find the product.

1. $1\frac{2}{4} \times 3\frac{5}{6} = $
2. $2\frac{1}{2} \times 3\frac{4}{6} = $
3. $3\frac{3}{4} \times 3\frac{2}{9} = $
4. $1\frac{1}{2} \times 3\frac{1}{2} = $
5. $3\frac{2}{6} \times 3\frac{2}{3} = $
6. $1\frac{3}{4} \times 1\frac{2}{4} = $
7. $1\frac{5}{8} \times 2\frac{6}{8} = $

Explanation:

Step1: Convert to improper fractions

$1\frac{2}{4}=\frac{6}{4}$, $3\frac{5}{6}=\frac{23}{6}$

Step2: Multiply numerators and denominators

$\frac{6}{4} \times \frac{23}{6} = \frac{6 \times 23}{4 \times 6} = \frac{23}{4}$

Step3: Simplify to mixed number

$\frac{23}{4}=5\frac{3}{4}$

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Step1: Convert to improper fractions

$2\frac{1}{2}=\frac{5}{2}$, $3\frac{4}{5}=\frac{19}{5}$

Step2: Multiply numerators and denominators

$\frac{5}{2} \times \frac{19}{5} = \frac{5 \times 19}{2 \times 5} = \frac{19}{2}$

Step3: Simplify to mixed number

$\frac{19}{2}=9\frac{1}{2}$

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Step1: Convert to improper fractions

$3\frac{3}{4}=\frac{15}{4}$, $3\frac{2}{9}=\frac{29}{9}$

Step2: Multiply numerators and denominators

$\frac{15}{4} \times \frac{29}{9} = \frac{15 \times 29}{4 \times 9} = \frac{435}{36}$

Step3: Simplify fraction and mixed number

$\frac{435}{36}=\frac{145}{12}=12\frac{1}{12}$

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Step1: Convert to improper fractions

$1\frac{1}{2}=\frac{3}{2}$, $3\frac{1}{2}=\frac{7}{2}$

Step2: Multiply numerators and denominators

$\frac{3}{2} \times \frac{7}{2} = \frac{3 \times 7}{2 \times 2} = \frac{21}{4}$

Step3: Simplify to mixed number

$\frac{21}{4}=5\frac{1}{4}$

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Step1: Convert to improper fractions

$3\frac{2}{6}=\frac{20}{6}$, $3\frac{2}{3}=\frac{11}{3}$

Step2: Multiply numerators and denominators

$\frac{20}{6} \times \frac{11}{3} = \frac{20 \times 11}{6 \times 3} = \frac{220}{18}$

Step3: Simplify fraction and mixed number

$\frac{220}{18}=\frac{110}{9}=12\frac{2}{9}$

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Step1: Convert to improper fractions

$1\frac{3}{4}=\frac{7}{4}$, $1\frac{2}{4}=\frac{6}{4}$

Step2: Multiply numerators and denominators

$\frac{7}{4} \times \frac{6}{4} = \frac{7 \times 6}{4 \times 4} = \frac{42}{16}$

Step3: Simplify fraction and mixed number

$\frac{42}{16}=\frac{21}{8}=2\frac{5}{8}$

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Step1: Convert to improper fractions

$1\frac{5}{8}=\frac{13}{8}$, $2\frac{6}{8}=\frac{22}{8}$

Step2: Multiply numerators and denominators

$\frac{13}{8} \times \frac{22}{8} = \frac{13 \times 22}{8 \times 8} = \frac{286}{64}$

Step3: Simplify fraction and mixed number

$\frac{286}{64}=\frac{143}{32}=4\frac{15}{32}$

Answer:

1. $5\frac{3}{4}$
2. $9\frac{1}{2}$
3. $12\frac{1}{12}$
4. $5\frac{1}{4}$
5. $12\frac{2}{9}$
6. $2\frac{5}{8}$
7. $4\frac{15}{32}$