Solve 310/4div16/8=

$$3 \frac { 10 } { 4 } \div 1 \frac { 6 } { 8 } =$$

Evaluate

$$\frac{22}{7}\approx 3.142857143$$

Solution Steps

Divide \frac{3\times 4+10}{4} by \frac{1\times 8+6}{8} by multiplying \frac{3\times 4+10}{4} by the reciprocal of \frac{1\times 8+6}{8}.

$$\frac{\left(3\times 4+10\right)\times 8}{4\left(1\times 8+6\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(10+3\times 4\right)}{6+8}$$

Multiply 3 and 4 to get 12.

$$\frac{2\left(10+12\right)}{6+8}$$

Add 10 and 12 to get 22.

$$\frac{2\times 22}{6+8}$$

Multiply 2 and 22 to get 44.

$$\frac{44}{6+8}$$

Add 6 and 8 to get 14.

$$\frac{44}{14}$$

Reduce the fraction \frac{44}{14} to lowest terms by extracting and canceling out 2.

$$\frac{22}{7}$$

Factor

$$\frac{2 \cdot 11}{7} = 3\frac{1}{7} = 3.142857142857143$$