Solve 0.75+5/8+1/4+0.3

$$0.75 + \frac { 5 } { 8 } + \frac { 1 } { 4 } + 0.3$$

Evaluate

$$1.925$$

Solution Steps

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{4}+\frac{5}{8}+\frac{1}{4}+0.3$$

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{6}{8}+\frac{5}{8}+\frac{1}{4}+0.3$$

Since \frac{6}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{8}+\frac{1}{4}+0.3$$

Add 6 and 5 to get 11.

$$\frac{11}{8}+\frac{1}{4}+0.3$$

Least common multiple of 8 and 4 is 8. Convert \frac{11}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{11}{8}+\frac{2}{8}+0.3$$

Since \frac{11}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{11+2}{8}+0.3$$

Add 11 and 2 to get 13.

$$\frac{13}{8}+0.3$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$\frac{13}{8}+\frac{3}{10}$$

Least common multiple of 8 and 10 is 40. Convert \frac{13}{8} and \frac{3}{10} to fractions with denominator 40.

$$\frac{65}{40}+\frac{12}{40}$$

Since \frac{65}{40} and \frac{12}{40} have the same denominator, add them by adding their numerators.

$$\frac{65+12}{40}$$

Add 65 and 12 to get 77.

$$\frac{77}{40}$$

Factor

$$\frac{7 \cdot 11}{5 \cdot 2 ^ {3}} = 1\frac{37}{40} = 1.925$$