Solve 3/8div11/2+11/4

$$\frac{ 3 }{ 8 } \div 1 \frac{ 1 }{ 2 } +1 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Divide \frac{3}{8} by \frac{1\times 2+1}{2} by multiplying \frac{3}{8} by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{3\times 2}{8\left(1\times 2+1\right)}+\frac{1\times 4+1}{4}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3}{4\left(1+2\right)}+\frac{1\times 4+1}{4}$$

Add 1 and 2 to get 3.

$$\frac{3}{4\times 3}+\frac{1\times 4+1}{4}$$

Multiply 4 and 3 to get 12.

$$\frac{3}{12}+\frac{1\times 4+1}{4}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{1}{4}+\frac{5}{4}$$

Since \frac{1}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+5}{4}$$

Add 1 and 5 to get 6.

$$\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$