Solve 15 3/8*21 7/8*5 1/4

Question

Calculate the value

\frac{452025}{256}

Alternative Form

1765 \frac{185}{256}

Alternative Form

1765.72265625

Evaluate

15 \frac{3}{8} \times 21 \frac{7}{8} \times 5 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

15 \frac{3}{8}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{15 \times 8 + 3}{8}

Multiply the terms

\frac{120 + 3}{8}

Add the terms

\frac{123}{8}

\frac{123}{8} \times 21 \frac{7}{8} \times 5 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

21 \frac{7}{8}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{21 \times 8 + 7}{8}

Multiply the terms

\frac{168 + 7}{8}

Add the terms

\frac{175}{8}

\frac{123}{8} \times \frac{175}{8} \times 5 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

5 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{5 \times 4 + 1}{4}

Multiply the terms

\frac{20 + 1}{4}

Add the terms

\frac{21}{4}

\frac{123}{8} \times \frac{175}{8} \times \frac{21}{4}

Multiply the terms

More Steps

Evaluate

\frac{123}{8} \times \frac{175}{8}

To multiply the fractions,multiply the numerators and denominators separately

\frac{123 \times 175}{8 \times 8}

Multiply the numbers

\frac{21525}{8 \times 8}

Multiply the numbers

\frac{21525}{64}

\frac{21525}{64} \times \frac{21}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{21525 \times 21}{64 \times 4}

Multiply the numbers

\frac{452025}{64 \times 4}

Solution

\frac{452025}{256}

Alternative Form

1765 \frac{185}{256}

Alternative Form

1765.72265625

Show Solution