Solve 27/10/8.37=1/4/0.8

$$\frac { 2 \frac { 7 } { 10 } } { 8.37 } = \frac { \frac { 1 } { 4 } } { 0.8 }$$

Verify

Solution Steps

Express \frac{\frac{2\times 10+7}{10}}{8.37} as a single fraction.

$$\frac{2\times 10+7}{10\times 8.37}=\frac{\frac{1}{4}}{0.8}$$

Multiply 2 and 10 to get 20.

$$\frac{20+7}{10\times 8.37}=\frac{\frac{1}{4}}{0.8}$$

Add 20 and 7 to get 27.

$$\frac{27}{10\times 8.37}=\frac{\frac{1}{4}}{0.8}$$

Multiply 10 and 8.37 to get 83.7.

$$\frac{27}{83.7}=\frac{\frac{1}{4}}{0.8}$$

Expand \frac{27}{83.7} by multiplying both numerator and the denominator by 10.

$$\frac{270}{837}=\frac{\frac{1}{4}}{0.8}$$

Reduce the fraction \frac{270}{837} to lowest terms by extracting and canceling out 27.

$$\frac{10}{31}=\frac{\frac{1}{4}}{0.8}$$

Express \frac{\frac{1}{4}}{0.8} as a single fraction.

$$\frac{10}{31}=\frac{1}{4\times 0.8}$$

Multiply 4 and 0.8 to get 3.2.

$$\frac{10}{31}=\frac{1}{3.2}$$

Expand \frac{1}{3.2} by multiplying both numerator and the denominator by 10.

$$\frac{10}{31}=\frac{10}{32}$$

Reduce the fraction \frac{10}{32} to lowest terms by extracting and canceling out 2.

$$\frac{10}{31}=\frac{5}{16}$$

Least common multiple of 31 and 16 is 496. Convert \frac{10}{31} and \frac{5}{16} to fractions with denominator 496.

$$\frac{160}{496}=\frac{155}{496}$$

Compare \frac{160}{496} and \frac{155}{496}.

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