Solve 4/12+9/8*15/3-26/10 | Microsoft Math Solver

Type a math problem

Evaluate

\frac{4 0 3}{1 2 0} \approx 3.358333333

Solution Steps

\frac{4}{1 2} + \frac{9}{8} \times \frac{1 5}{3} - \frac{2 6}{1 0}

Reduce the fraction

\frac{4}{1 2} \approx 0.333333333

to lowest terms by extracting and canceling out

4

\frac{1}{3} + \frac{9}{8} \times (\frac{1 5}{3}) - \frac{2 6}{1 0} \approx 3.358333333

Divide

15

3

to get

5

\frac{1}{3} + \frac{9}{8} \times 5 - \frac{2 6}{1 0} \approx 3.358333333

Express

\frac{9}{8} \times 5 = 5.625

as a single fraction.

\frac{1}{3} + \frac{9 \times 5}{8} - \frac{2 6}{1 0} \approx 3.358333333

Multiply

9

and

5

to get

45

\frac{1}{3} + \frac{4 5}{8} - \frac{2 6}{1 0} \approx 3.358333333

Least common multiple of

3

and

8

24

. Convert

\frac{1}{3} \approx 0.333333333

and

\frac{4 5}{8} = 5.625

to fractions with denominator

24

\frac{8}{2 4} + \frac{1 3 5}{2 4} - \frac{2 6}{1 0} \approx 3.358333333

Since

\frac{8}{2 4} \approx 0.333333333

and

\frac{1 3 5}{2 4} = 5.625

have the same denominator, add them by adding their numerators.

\frac{8 + 1 3 5}{2 4} - \frac{2 6}{1 0} \approx 3.358333333

Add

8

and

135

to get

143

\frac{1 4 3}{2 4} - \frac{2 6}{1 0} \approx 3.358333333

Reduce the fraction

\frac{2 6}{1 0} \approx 2.6

to lowest terms by extracting and canceling out

2

\frac{1 4 3}{2 4} - \frac{1 3}{5} \approx 3.358333333

Least common multiple of

24

and

5

120

. Convert

\frac{1 4 3}{2 4} \approx 5.958333333

and

\frac{1 3}{5} = 2.6

to fractions with denominator

120

\frac{7 1 5}{1 2 0} - \frac{3 1 2}{1 2 0} \approx 3.358333333

Since

\frac{7 1 5}{1 2 0} \approx 5.958333333

and

\frac{3 1 2}{1 2 0} = 2.6

have the same denominator, subtract them by subtracting their numerators.

\frac{7 1 5 - 3 1 2}{1 2 0} \approx 3.358333333

Subtract

312

from

715

to get

403

\frac{4 0 3}{1 2 0} \approx 3.358333333

Quiz

Arithmetic

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\frac{4}{1 2} + \frac{9}{8} \times \frac{1 5}{3} - \frac{2 6}{1 0}

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\frac{1}{3}+\frac{9}{8}\times \left(\frac{15}{3}\right)-\frac{26}{10}\approx 3.358333333

Reduce the fraction \frac{4}{12}\approx 0.333333333 to lowest terms by extracting and canceling out 4.

\frac{1}{3}+\frac{9}{8}\times 5-\frac{26}{10}\approx 3.358333333

Divide 15 by 3 to get 5.

\frac{1}{3}+\frac{9\times 5}{8}-\frac{26}{10}\approx 3.358333333

Express \frac{9}{8}\times 5=5.625 as a single fraction.

\frac{1}{3}+\frac{45}{8}-\frac{26}{10}\approx 3.358333333

Multiply 9 and 5 to get 45.

\frac{8}{24}+\frac{135}{24}-\frac{26}{10}\approx 3.358333333

Least common multiple of 3 and 8 is 24. Convert \frac{1}{3}\approx 0.333333333 and \frac{45}{8}=5.625 to fractions with denominator 24.

\frac{8+135}{24}-\frac{26}{10}\approx 3.358333333

Since \frac{8}{24}\approx 0.333333333 and \frac{135}{24}=5.625 have the same denominator, add them by adding their numerators.

\frac{143}{24}-\frac{26}{10}\approx 3.358333333

Add 8 and 135 to get 143.

\frac{143}{24}-\frac{13}{5}\approx 3.358333333

Reduce the fraction \frac{26}{10}\approx 2.6 to lowest terms by extracting and canceling out 2.

\frac{715}{120}-\frac{312}{120}\approx 3.358333333

Least common multiple of 24 and 5 is 120. Convert \frac{143}{24}\approx 5.958333333 and \frac{13}{5}=2.6 to fractions with denominator 120.

\frac{715-312}{120}\approx 3.358333333

Since \frac{715}{120}\approx 5.958333333 and \frac{312}{120}=2.6 have the same denominator, subtract them by subtracting their numerators.

\frac{403}{120}\approx 3.358333333

Subtract 312 from 715 to get 403.

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