What is 3 1/4*5 5/8 ?

The solution to 3 1/4*5 5/8 is 18 9/32

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simplify 3 1/4*5 5/8

simplify

3 \frac{1}{4} \cdot 5 \frac{5}{8}

18 \frac{9}{32}

Decimal Notation

18.28125

Solution steps

3 \frac{1}{4} \cdot 5 \frac{5}{8}

Convert mixed numbers to improper fractions:

3 \frac{1}{4} = \frac{13}{4}

= \frac{13}{4} \cdot 5 \frac{5}{8}

Convert mixed numbers to improper fractions:

5 \frac{5}{8} = \frac{45}{8}

= \frac{13}{4} \cdot \frac{45}{8}

Apply the fraction rule:

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

= \frac{13 \cdot 45}{4 \cdot 8}

Multiply the numbers:

13 \cdot 45 = 585

= \frac{585}{4 \cdot 8}

Multiply the numbers:

4 \cdot 8 = 32

= \frac{585}{32}

Convert improper fractions to mixed numbers:

\frac{585}{32} = 18 \frac{9}{32}

= 18 \frac{9}{32}

\frac{0}{100}

(3 x - 1)^{8}

\frac{2 i}{3 - 9 i}

5 \times \frac{4}{5}

(- 2 i + 7) (7 + 2 i)