Solve 3/14+2/7*1/4=1/8

$$\frac { 3 } { 14 } + \frac { 2 } { 7 } \cdot \frac { 1 } { 4 } = \frac { 1 } { 8 }$$

Verify

Solution Steps

Multiply \frac{2}{7} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{14}+\frac{2\times 1}{7\times 4}=\frac{1}{8}$$

Do the multiplications in the fraction \frac{2\times 1}{7\times 4}.

$$\frac{3}{14}+\frac{2}{28}=\frac{1}{8}$$

Reduce the fraction \frac{2}{28} to lowest terms by extracting and canceling out 2.

$$\frac{3}{14}+\frac{1}{14}=\frac{1}{8}$$

Since \frac{3}{14} and \frac{1}{14} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{14}=\frac{1}{8}$$

Add 3 and 1 to get 4.

$$\frac{4}{14}=\frac{1}{8}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2}{7}=\frac{1}{8}$$

Least common multiple of 7 and 8 is 56. Convert \frac{2}{7} and \frac{1}{8} to fractions with denominator 56.

$$\frac{16}{56}=\frac{7}{56}$$

Compare \frac{16}{56} and \frac{7}{56}.

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