What is 2 1/4*3 2/7 ?

The solution to 2 1/4*3 2/7 is 7 11/28

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simplify 2 1/4*3 2/7

simplify

2 \frac{1}{4} \cdot 3 \frac{2}{7}

7 \frac{11}{28}

Decimal Notation

7.39285 \dots

Solution steps

2 \frac{1}{4} \cdot 3 \frac{2}{7}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

= \frac{9}{4} \cdot 3 \frac{2}{7}

Convert mixed numbers to improper fractions:

3 \frac{2}{7} = \frac{23}{7}

= \frac{9}{4} \cdot \frac{23}{7}

Apply the fraction rule:

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

= \frac{9 \cdot 23}{4 \cdot 7}

Multiply the numbers:

9 \cdot 23 = 207

= \frac{207}{4 \cdot 7}

Multiply the numbers:

4 \cdot 7 = 28

= \frac{207}{28}

Convert improper fractions to mixed numbers:

\frac{207}{28} = 7 \frac{11}{28}

= 7 \frac{11}{28}

\frac{( x ^{3} + 3 x ^{2} - 4 x - 12 )}{( x ^{2} + 5 x + 6 )}

12 \cdot (- 5)

(7 - 3 i) (6 + i)

\frac{7}{3 s + 6} \cdot \frac{s + 2}{21}

\frac{51}{17}