Solve 31/22-7.8

$$3 \frac { 1 } { 22 } - 7.8$$

Evaluate

$$-\frac{523}{110}\approx -4.754545455$$

Solution Steps

Multiply 3 and 22 to get 66.

$$\frac{66+1}{22}-7.8$$

Add 66 and 1 to get 67.

$$\frac{67}{22}-7.8$$

Convert decimal number 7.8 to fraction \frac{78}{10}. Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.

$$\frac{67}{22}-\frac{39}{5}$$

Least common multiple of 22 and 5 is 110. Convert \frac{67}{22} and \frac{39}{5} to fractions with denominator 110.

$$\frac{335}{110}-\frac{858}{110}$$

Since \frac{335}{110} and \frac{858}{110} have the same denominator, subtract them by subtracting their numerators.

$$\frac{335-858}{110}$$

Subtract 858 from 335 to get -523.

$$-\frac{523}{110}$$

Factor

$$-\frac{523}{110} = -4\frac{83}{110} = -4.754545454545455$$