Solve 2/4/3/4=36/4+312/4+15/8/6

$$\frac { 2 / 4 } { 3 / 4 } = \frac { 36 } { 4 } + \frac { 312 } { 4 } + \frac { 15 / 8 } { 6 }$$

Verify

Solution Steps

Divide \frac{2}{4} by \frac{3}{4} by multiplying \frac{2}{4} by the reciprocal of \frac{3}{4}.

$$\frac{2\times 4}{4\times 3}=\frac{36}{4}+\frac{312}{4}+\frac{\frac{15}{8}}{6}$$

Cancel out 2\times 2 in both numerator and denominator.

$$\frac{2}{3}=\frac{36}{4}+\frac{312}{4}+\frac{\frac{15}{8}}{6}$$

Divide 36 by 4 to get 9.

$$\frac{2}{3}=9+\frac{312}{4}+\frac{\frac{15}{8}}{6}$$

Divide 312 by 4 to get 78.

$$\frac{2}{3}=9+78+\frac{\frac{15}{8}}{6}$$

Add 9 and 78 to get 87.

$$\frac{2}{3}=87+\frac{\frac{15}{8}}{6}$$

Express \frac{\frac{15}{8}}{6} as a single fraction.

$$\frac{2}{3}=87+\frac{15}{8\times 6}$$

Multiply 8 and 6 to get 48.

$$\frac{2}{3}=87+\frac{15}{48}$$

Reduce the fraction \frac{15}{48} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}=87+\frac{5}{16}$$

Convert 87 to fraction \frac{1392}{16}.

$$\frac{2}{3}=\frac{1392}{16}+\frac{5}{16}$$

Since \frac{1392}{16} and \frac{5}{16} have the same denominator, add them by adding their numerators.

$$\frac{2}{3}=\frac{1392+5}{16}$$

Add 1392 and 5 to get 1397.

$$\frac{2}{3}=\frac{1397}{16}$$

Least common multiple of 3 and 16 is 48. Convert \frac{2}{3} and \frac{1397}{16} to fractions with denominator 48.

$$\frac{32}{48}=\frac{4191}{48}$$

Compare \frac{32}{48} and \frac{4191}{48}.

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