Solve a=(2-1/2 2/3)-(1-1/3 3/4)-(1-1/2 1/4) - ScanMath

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Type your math problem... a=(2-1/2 2/3)-(1-1/3 3/4)-(1-1/2 1/4)

Question

Solve the equation

a = \frac{1}{24}

Alternative Form

a = 0.041 \dot{6}

Evaluate

a = (2 - \frac{1}{2} \times \frac{2}{3}) - (1 - \frac{1}{3} \times \frac{3}{4}) - (1 - \frac{1}{2} \times \frac{1}{4})

Solution

More Steps

Evaluate

(2 - \frac{1}{2} \times \frac{2}{3}) - (1 - \frac{1}{3} \times \frac{3}{4}) - (1 - \frac{1}{2} \times \frac{1}{4})

Multiply the numbers

More Steps

(2 - \frac{1}{3}) - (1 - \frac{1}{3} \times \frac{3}{4}) - (1 - \frac{1}{2} \times \frac{1}{4})

Subtract the numbers

More Steps

\frac{5}{3} - (1 - \frac{1}{3} \times \frac{3}{4}) - (1 - \frac{1}{2} \times \frac{1}{4})

Multiply the numbers

More Steps

\frac{5}{3} - (1 - \frac{1}{4}) - (1 - \frac{1}{2} \times \frac{1}{4})

Subtract the numbers

More Steps

\frac{5}{3} - \frac{3}{4} - (1 - \frac{1}{2} \times \frac{1}{4})

Multiply the numbers

More Steps

\frac{5}{3} - \frac{3}{4} - (1 - \frac{1}{8})

Subtract the numbers

More Steps

\frac{5}{3} - \frac{3}{4} - \frac{7}{8}

Reduce fractions to a common denominator

\frac{5 \times 4 \times 2}{3 \times 4 \times 2} - \frac{3 \times 3 \times 2}{4 \times 3 \times 2} - \frac{7 \times 3}{8 \times 3}

Multiply the terms

More Steps

\frac{5 \times 4 \times 2}{24} - \frac{3 \times 3 \times 2}{4 \times 3 \times 2} - \frac{7 \times 3}{8 \times 3}

Multiply the terms

More Steps

\frac{5 \times 4 \times 2}{24} - \frac{3 \times 3 \times 2}{24} - \frac{7 \times 3}{8 \times 3}

Multiply the numbers

\frac{5 \times 4 \times 2}{24} - \frac{3 \times 3 \times 2}{24} - \frac{7 \times 3}{24}

Write all numerators above the common denominator

\frac{5 \times 4 \times 2 - 3 \times 3 \times 2 - 7 \times 3}{24}

Multiply the terms

More Steps

\frac{40 - 3 \times 3 \times 2 - 7 \times 3}{24}

Multiply the terms

More Steps

\frac{40 - 18 - 7 \times 3}{24}

Multiply the numbers

\frac{40 - 18 - 21}{24}

Subtract the numbers

\frac{1}{24}

a = \frac{1}{24}

Alternative Form

a = 0.041 \dot{6}

Show Solution

Graph

Graph