Solve 20*84/19/frac{84{19}+12}

$$20 \times \frac { \frac { 84 } { 19 } } { \frac { 84 } { 19 } + 12 }$$

Evaluate

$$\frac{70}{13}\approx 5.384615385$$

Solution Steps

Convert 12 to fraction \frac{228}{19}.

$$20\times \frac{\frac{84}{19}}{\frac{84}{19}+\frac{228}{19}}$$

Since \frac{84}{19} and \frac{228}{19} have the same denominator, add them by adding their numerators.

$$20\times \frac{\frac{84}{19}}{\frac{84+228}{19}}$$

Add 84 and 228 to get 312.

$$20\times \frac{\frac{84}{19}}{\frac{312}{19}}$$

Divide \frac{84}{19} by \frac{312}{19} by multiplying \frac{84}{19} by the reciprocal of \frac{312}{19}.

$$20\times \frac{84}{19}\times \frac{19}{312}$$

Multiply \frac{84}{19} times \frac{19}{312} by multiplying numerator times numerator and denominator times denominator.

$$20\times \frac{84\times 19}{19\times 312}$$

Cancel out 19 in both numerator and denominator.

$$20\times \frac{84}{312}$$

Reduce the fraction \frac{84}{312} to lowest terms by extracting and canceling out 12.

$$20\times \frac{7}{26}$$

Express 20\times \frac{7}{26} as a single fraction.

$$\frac{20\times 7}{26}$$

Multiply 20 and 7 to get 140.

$$\frac{140}{26}$$

Reduce the fraction \frac{140}{26} to lowest terms by extracting and canceling out 2.

$$\frac{70}{13}$$

Factor

$$\frac{2 \cdot 5 \cdot 7}{13} = 5\frac{5}{13} = 5.384615384615385$$