What is 2 3/7*2 4/5 ?

The solution to 2 3/7*2 4/5 is 6 4/5

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simplify 2 3/7*2 4/5

simplify

2 \frac{3}{7} \cdot 2 \frac{4}{5}

6 \frac{4}{5}

Solution steps

2 \frac{3}{7} \cdot 2 \frac{4}{5}

Convert mixed numbers to improper fractions:

2 \frac{3}{7} = \frac{17}{7}

= \frac{17}{7} \cdot 2 \frac{4}{5}

Convert mixed numbers to improper fractions:

2 \frac{4}{5} = \frac{14}{5}

= \frac{17}{7} \cdot \frac{14}{5}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{17 \cdot 14}{7 \cdot 5}

Cancel

\frac{17 \cdot 14}{7 \cdot 5} : \frac{34}{5}

= \frac{34}{5}

Convert improper fractions to mixed numbers:

\frac{34}{5} = 6 \frac{4}{5}

= 6 \frac{4}{5}

- 6 (4 x^{2} - 8)

x^{2} y - x y

\frac{2}{7} - \frac{1}{5}

x^{- 2} + y^{- 2}

\frac{1}{x ^{2} - 25}