Solve 0.75div11/4+2/3

$$0.75 \div 1 \frac { 1 } { 4 } + \frac { 2 } { 3 }$$

Evaluate

$$\frac{19}{15}\approx 1.266666667$$

Solution Steps

Divide 0.75 by \frac{1\times 4+1}{4} by multiplying 0.75 by the reciprocal of \frac{1\times 4+1}{4}.

$$\frac{0.75\times 4}{1\times 4+1}+\frac{2}{3}$$

Multiply 0.75 and 4 to get 3.

$$\frac{3}{1\times 4+1}+\frac{2}{3}$$

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{3}{5}+\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{9}{15}+\frac{10}{15}$$

Since \frac{9}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{15}$$

Add 9 and 10 to get 19.

$$\frac{19}{15}$$

Factor

$$\frac{19}{3 \cdot 5} = 1\frac{4}{15} = 1.2666666666666666$$