Solve 3 1/8(1/5-12a)-1 3/4(2/5a^5/7) - ScanMath

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Type your math problem... 3 1/8(1/5-12a)-1 3/4(2/5a^5/7)

Question

Simplify the expression

\frac{25 - 1500 a - 4 a ^{5}}{40}

Evaluate

3 \frac{1}{8} \times (\frac{1}{5} - 12 a) - 1 \frac{3}{4} \times (\frac{2}{5} \times \frac{a ^{5}}{7})

Remove the parentheses

3 \frac{1}{8} \times (\frac{1}{5} - 12 a) - 1 \frac{3}{4} \times \frac{2}{5} \times \frac{a ^{5}}{7}

Covert the mixed number to an improper fraction

More Steps

\frac{25}{8} (\frac{1}{5} - 12 a) - 1 \frac{3}{4} \times \frac{2}{5} \times \frac{a ^{5}}{7}

Covert the mixed number to an improper fraction

More Steps

\frac{25}{8} (\frac{1}{5} - 12 a) - \frac{7}{4} \times \frac{2}{5} \times \frac{a ^{5}}{7}

Multiply the terms

More Steps

\frac{5}{8} - \frac{75}{2} a - \frac{7}{4} \times \frac{2}{5} \times \frac{a ^{5}}{7}

Multiply

More Steps

\frac{5}{8} - \frac{75}{2} a - \frac{a ^{5}}{10}

Rewrite the expression

\frac{5}{8} - \frac{75 a}{2} - \frac{a ^{5}}{10}

Reduce fractions to a common denominator

\frac{5 \times 5}{8 \times 5} - \frac{75 a \times 4 \times 5}{2 \times 4 \times 5} - \frac{a ^{5} \times 4}{10 \times 4}

Multiply the numbers

\frac{5 \times 5}{40} - \frac{75 a \times 4 \times 5}{2 \times 4 \times 5} - \frac{a ^{5} \times 4}{10 \times 4}

Multiply the terms

More Steps

\frac{5 \times 5}{40} - \frac{75 a \times 4 \times 5}{40} - \frac{a ^{5} \times 4}{10 \times 4}

Multiply the numbers

\frac{5 \times 5}{40} - \frac{75 a \times 4 \times 5}{40} - \frac{a ^{5} \times 4}{40}

Write all numerators above the common denominator

\frac{5 \times 5 - 75 a \times 4 \times 5 - a ^{5} \times 4}{40}

Multiply the numbers

\frac{25 - 75 a \times 4 \times 5 - a ^{5} \times 4}{40}

Multiply the terms

More Steps

\frac{25 - 1500 a - a ^{5} \times 4}{40}

Solution

\frac{25 - 1500 a - 4 a ^{5}}{40}

Show Solution