Solve (27/16+147/7)*4

$$( \frac { 27 } { 16 } + \frac { 147 } { 7 } ) \cdot 4$$

Evaluate

$$\frac{363}{4}=90.75$$

Solution Steps

Divide 147 by 7 to get 21.

$$\left(\frac{27}{16}+21\right)\times 4$$

Convert 21 to fraction \frac{336}{16}.

$$\left(\frac{27}{16}+\frac{336}{16}\right)\times 4$$

Since \frac{27}{16} and \frac{336}{16} have the same denominator, add them by adding their numerators.

$$\frac{27+336}{16}\times 4$$

Add 27 and 336 to get 363.

$$\frac{363}{16}\times 4$$

Express \frac{363}{16}\times 4 as a single fraction.

$$\frac{363\times 4}{16}$$

Multiply 363 and 4 to get 1452.

$$\frac{1452}{16}$$

Reduce the fraction \frac{1452}{16} to lowest terms by extracting and canceling out 4.

$$\frac{363}{4}$$

Factor

$$\frac{3 \cdot 11 ^ {2}}{2 ^ {2}} = 90\frac{3}{4} = 90.75$$