What is 3 2/3*2 1/7 ?

The solution to 3 2/3*2 1/7 is 7 6/7

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simplify 3 2/3*2 1/7

simplify

3 \frac{2}{3} \cdot 2 \frac{1}{7}

7 \frac{6}{7}

Decimal Notation

7.85714 \dots

Solution steps

3 \frac{2}{3} \cdot 2 \frac{1}{7}

Convert mixed numbers to improper fractions:

3 \frac{2}{3} = \frac{11}{3}

= \frac{11}{3} \cdot 2 \frac{1}{7}

Convert mixed numbers to improper fractions:

2 \frac{1}{7} = \frac{15}{7}

= \frac{11}{3} \cdot \frac{15}{7}

Apply the fraction rule:

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

= \frac{11 \cdot 15}{3 \cdot 7}

Cancel

\frac{11 \cdot 15}{3 \cdot 7} : \frac{55}{7}

= \frac{55}{7}

Convert improper fractions to mixed numbers:

\frac{55}{7} = 7 \frac{6}{7}

= 7 \frac{6}{7}

\frac{x ^{3} - 3 x + 2}{x ^{4} - 4 x + 3}

(x - 1) (x + 9)

\frac{22}{50}

\frac{x ^{2} - 49}{x ^{2} + 4 x - 21}

(2 x^{2} + x)^{12}