Solve 2+1/4div23/16

$$2 + \frac { 1 } { 4 } \div 2 \frac { 3 } { 16 }$$

Evaluate

$$\frac{74}{35}\approx 2.114285714$$

Solution Steps

Divide \frac{1}{4} by \frac{2\times 16+3}{16} by multiplying \frac{1}{4} by the reciprocal of \frac{2\times 16+3}{16}.

$$2+\frac{16}{4\left(2\times 16+3\right)}$$

Multiply 2 and 16 to get 32.

$$2+\frac{16}{4\left(32+3\right)}$$

Add 32 and 3 to get 35.

$$2+\frac{16}{4\times 35}$$

Multiply 4 and 35 to get 140.

$$2+\frac{16}{140}$$

Reduce the fraction \frac{16}{140} to lowest terms by extracting and canceling out 4.

$$2+\frac{4}{35}$$

Convert 2 to fraction \frac{70}{35}.

$$\frac{70}{35}+\frac{4}{35}$$

Since \frac{70}{35} and \frac{4}{35} have the same denominator, add them by adding their numerators.

$$\frac{70+4}{35}$$

Add 70 and 4 to get 74.

$$\frac{74}{35}$$

Factor

$$\frac{2 \cdot 37}{5 \cdot 7} = 2\frac{4}{35} = 2.1142857142857143$$