Solve (21*3/7+4/7*21)*1/4

$$( 21 \times \frac { 3 } { 7 } + \frac { 4 } { 7 } \times 21 ) \times \frac { 1 } { 4 }$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Express 21\times \frac{3}{7} as a single fraction.

$$\left(\frac{21\times 3}{7}+\frac{4}{7}\times 21\right)\times \frac{1}{4}$$

Multiply 21 and 3 to get 63.

$$\left(\frac{63}{7}+\frac{4}{7}\times 21\right)\times \frac{1}{4}$$

Divide 63 by 7 to get 9.

$$\left(9+\frac{4}{7}\times 21\right)\times \frac{1}{4}$$

Express \frac{4}{7}\times 21 as a single fraction.

$$\left(9+\frac{4\times 21}{7}\right)\times \frac{1}{4}$$

Multiply 4 and 21 to get 84.

$$\left(9+\frac{84}{7}\right)\times \frac{1}{4}$$

Divide 84 by 7 to get 12.

$$\left(9+12\right)\times \frac{1}{4}$$

Add 9 and 12 to get 21.

$$21\times \frac{1}{4}$$

Multiply 21 and \frac{1}{4} to get \frac{21}{4}.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$