Solve 33/4+21/4+6+71/4

$$3 \frac { 3 } { 4 } + 2 \frac { 1 } { 4 } + 6 + 7 \frac { 1 } { 4 }$$

Evaluate

$$\frac{77}{4}=19.25$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}+\frac{2\times 4+1}{4}+6+\frac{7\times 4+1}{4}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}+\frac{2\times 4+1}{4}+6+\frac{7\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{15}{4}+\frac{8+1}{4}+6+\frac{7\times 4+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{15}{4}+\frac{9}{4}+6+\frac{7\times 4+1}{4}$$

Since \frac{15}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{15+9}{4}+6+\frac{7\times 4+1}{4}$$

Add 15 and 9 to get 24.

$$\frac{24}{4}+6+\frac{7\times 4+1}{4}$$

Divide 24 by 4 to get 6.

$$6+6+\frac{7\times 4+1}{4}$$

Add 6 and 6 to get 12.

$$12+\frac{7\times 4+1}{4}$$

Multiply 7 and 4 to get 28.

$$12+\frac{28+1}{4}$$

Add 28 and 1 to get 29.

$$12+\frac{29}{4}$$

Convert 12 to fraction \frac{48}{4}.

$$\frac{48}{4}+\frac{29}{4}$$

Since \frac{48}{4} and \frac{29}{4} have the same denominator, add them by adding their numerators.

$$\frac{48+29}{4}$$

Add 48 and 29 to get 77.

$$\frac{77}{4}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2}} = 19\frac{1}{4} = 19.25$$