Solve 39/8-1.235=

$$\frac{ 39 }{ 8 } -1.235=$$

Evaluate

$$3.64$$

Solution Steps

Convert decimal number 1.235 to fraction \frac{1235}{1000}. Reduce the fraction \frac{1235}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{39}{8}-\frac{247}{200}$$

Least common multiple of 8 and 200 is 200. Convert \frac{39}{8} and \frac{247}{200} to fractions with denominator 200.

$$\frac{975}{200}-\frac{247}{200}$$

Since \frac{975}{200} and \frac{247}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{975-247}{200}$$

Subtract 247 from 975 to get 728.

$$\frac{728}{200}$$

Reduce the fraction \frac{728}{200} to lowest terms by extracting and canceling out 8.

$$\frac{91}{25}$$

Factor

$$\frac{7 \cdot 13}{5 ^ {2}} = 3\frac{16}{25} = 3.64$$