Solve 3/4+1.25div11/2

$$\frac { 3 } { 4 } + 1.25 \div 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

Divide 1.25 by \frac{1\times 2+1}{2} by multiplying 1.25 by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{3}{4}+\frac{1.25\times 2}{1\times 2+1}$$

Multiply 1.25 and 2 to get 2.5.

$$\frac{3}{4}+\frac{2.5}{1\times 2+1}$$

Multiply 1 and 2 to get 2.

$$\frac{3}{4}+\frac{2.5}{2+1}$$

Add 2 and 1 to get 3.

$$\frac{3}{4}+\frac{2.5}{3}$$

Expand \frac{2.5}{3} by multiplying both numerator and the denominator by 10.

$$\frac{3}{4}+\frac{25}{30}$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}+\frac{5}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{10}{12}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{12}$$

Add 9 and 10 to get 19.

$$\frac{19}{12}$$

Factor

$$\frac{19}{3 \cdot 2 ^ {2}} = 1\frac{7}{12} = 1.5833333333333333$$