The solution to 3 1/2*3/4 is 2 5/8

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simplify 3 1/2*3/4

Solution

simplify

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

2 \frac{5}{8}

Decimal Notation

2.625

Solution steps

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

Convert mixed numbers to improper fractions:

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

7 \cdot 3 = 21

= \frac{21}{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{21}{8}

Convert improper fractions to mixed numbers:

\frac{21}{8} = 2 \frac{5}{8}

= 2 \frac{5}{8}

(- 3 m^{4} n^{- 2})^{- 3}

2 (x + 4)^{2} - 1

25 x + 17 y - 3 x - 2 y

x^{2} - x^{1}

\frac{5}{3} \cdot \frac{6}{2}