Solve 19/56-1/72-10/84+8/63== | Microsoft Math Solver

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Evaluate

\frac{1}{3} \approx 0.333333333

Solution Steps

\frac{1 9}{5 6} - \frac{1}{7 2} - \frac{1 0}{8 4} + \frac{8}{6 3} = =

Least common multiple of

56

and

72

is

504

. Convert

\frac{1 9}{5 6} \approx 0.339285714

and

\frac{1}{7 2} \approx 0.013888889

to fractions with denominator

504

.

\frac{1 7 1}{5 0 4} - \frac{7}{5 0 4} - \frac{1 0}{8 4} + \frac{8}{6 3} \approx 0.333333333

Since

\frac{1 7 1}{5 0 4} \approx 0.339285714

and

\frac{7}{5 0 4} \approx 0.013888889

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

\frac{1 7 1 - 7}{5 0 4} - \frac{1 0}{8 4} + \frac{8}{6 3} \approx 0.333333333

Subtract

7

from

171

to get

164

.

\frac{1 6 4}{5 0 4} - \frac{1 0}{8 4} + \frac{8}{6 3} \approx 0.333333333

Reduce the fraction

\frac{1 6 4}{5 0 4} \approx 0.325396825

to lowest terms by extracting and canceling out

4

.

\frac{4 1}{1 2 6} - \frac{1 0}{8 4} + \frac{8}{6 3} \approx 0.333333333

Reduce the fraction

\frac{1 0}{8 4} \approx 0.119047619

to lowest terms by extracting and canceling out

2

.

\frac{4 1}{1 2 6} - \frac{5}{4 2} + \frac{8}{6 3} \approx 0.333333333

Least common multiple of

126

and

42

is

126

. Convert

\frac{4 1}{1 2 6} \approx 0.325396825

and

\frac{5}{4 2} \approx 0.119047619

to fractions with denominator

126

.

\frac{4 1}{1 2 6} - \frac{1 5}{1 2 6} + \frac{8}{6 3} \approx 0.333333333

Since

\frac{4 1}{1 2 6} \approx 0.325396825

and

\frac{1 5}{1 2 6} \approx 0.119047619

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

\frac{4 1 - 1 5}{1 2 6} + \frac{8}{6 3} \approx 0.333333333

Subtract

15

from

41

to get

26

.

\frac{2 6}{1 2 6} + \frac{8}{6 3} \approx 0.333333333

Reduce the fraction

\frac{2 6}{1 2 6} \approx 0.206349206

to lowest terms by extracting and canceling out

2

.

\frac{1 3}{6 3} + \frac{8}{6 3} \approx 0.333333333

Since

\frac{1 3}{6 3} \approx 0.206349206

and

\frac{8}{6 3} \approx 0.126984127

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

\frac{1 3 + 8}{6 3} \approx 0.333333333

Add

13

and

8

to get

21

.

\frac{2 1}{6 3} \approx 0.333333333

Reduce the fraction

\frac{2 1}{6 3} \approx 0.333333333

to lowest terms by extracting and canceling out

21

.

\frac{1}{3} \approx 0.333333333

Quiz

10 problems similar to:

\frac{1 9}{5 6} - \frac{1}{7 2} - \frac{1 0}{8 4} + \frac{8}{6 3} = =

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\frac{171}{504}-\frac{7}{504}-\frac{10}{84}+\frac{8}{63}\approx 0.333333333

Least common multiple of 56 and 72 is 504. Convert \frac{19}{56}\approx 0.339285714 and \frac{1}{72}\approx 0.013888889 to fractions with denominator 504.

\frac{171-7}{504}-\frac{10}{84}+\frac{8}{63}\approx 0.333333333

Since \frac{171}{504}\approx 0.339285714 and \frac{7}{504}\approx 0.013888889 have the same denominator, subtract them by subtracting their numerators.

\frac{164}{504}-\frac{10}{84}+\frac{8}{63}\approx 0.333333333

Subtract 7 from 171 to get 164.

\frac{41}{126}-\frac{10}{84}+\frac{8}{63}\approx 0.333333333

Reduce the fraction \frac{164}{504}\approx 0.325396825 to lowest terms by extracting and canceling out 4.

\frac{41}{126}-\frac{5}{42}+\frac{8}{63}\approx 0.333333333

Reduce the fraction \frac{10}{84}\approx 0.119047619 to lowest terms by extracting and canceling out 2.

\frac{41}{126}-\frac{15}{126}+\frac{8}{63}\approx 0.333333333

Least common multiple of 126 and 42 is 126. Convert \frac{41}{126}\approx 0.325396825 and \frac{5}{42}\approx 0.119047619 to fractions with denominator 126.

\frac{41-15}{126}+\frac{8}{63}\approx 0.333333333

Since \frac{41}{126}\approx 0.325396825 and \frac{15}{126}\approx 0.119047619 have the same denominator, subtract them by subtracting their numerators.

\frac{26}{126}+\frac{8}{63}\approx 0.333333333

Subtract 15 from 41 to get 26.

\frac{13}{63}+\frac{8}{63}\approx 0.333333333

Reduce the fraction \frac{26}{126}\approx 0.206349206 to lowest terms by extracting and canceling out 2.

\frac{13+8}{63}\approx 0.333333333

Since \frac{13}{63}\approx 0.206349206 and \frac{8}{63}\approx 0.126984127 have the same denominator, add them by adding their numerators.

\frac{21}{63}\approx 0.333333333

Add 13 and 8 to get 21.

\frac{1}{3}\approx 0.333333333

Reduce the fraction \frac{21}{63}\approx 0.333333333 to lowest terms by extracting and canceling out 21.

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