Solve 7/8+9.25+1/8

$$\frac { 7 } { 8 } + 9.25 + \frac { 1 } { 8 }$$

Evaluate

$$10.25$$

Solution Steps

Convert decimal number 9.25 to fraction \frac{925}{100}. Reduce the fraction \frac{925}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{8}+\frac{37}{4}+\frac{1}{8}$$

Least common multiple of 8 and 4 is 8. Convert \frac{7}{8} and \frac{37}{4} to fractions with denominator 8.

$$\frac{7}{8}+\frac{74}{8}+\frac{1}{8}$$

Since \frac{7}{8} and \frac{74}{8} have the same denominator, add them by adding their numerators.

$$\frac{7+74}{8}+\frac{1}{8}$$

Add 7 and 74 to get 81.

$$\frac{81}{8}+\frac{1}{8}$$

Since \frac{81}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{81+1}{8}$$

Add 81 and 1 to get 82.

$$\frac{82}{8}$$

Reduce the fraction \frac{82}{8} to lowest terms by extracting and canceling out 2.

$$\frac{41}{4}$$

Factor

$$\frac{41}{2 ^ {2}} = 10\frac{1}{4} = 10.25$$