Solve 35/6-23/10=

$$3 \frac { 5 } { 6 } - 2 \frac { 3 } { 10 } =$$

Evaluate

$$\frac{23}{15}\approx 1.533333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+5}{6}-\frac{2\times 10+3}{10}$$

Add 18 and 5 to get 23.

$$\frac{23}{6}-\frac{2\times 10+3}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{23}{6}-\frac{20+3}{10}$$

Add 20 and 3 to get 23.

$$\frac{23}{6}-\frac{23}{10}$$

Least common multiple of 6 and 10 is 30. Convert \frac{23}{6} and \frac{23}{10} to fractions with denominator 30.

$$\frac{115}{30}-\frac{69}{30}$$

Since \frac{115}{30} and \frac{69}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-69}{30}$$

Subtract 69 from 115 to get 46.

$$\frac{46}{30}$$

Reduce the fraction \frac{46}{30} to lowest terms by extracting and canceling out 2.

$$\frac{23}{15}$$

Factor

$$\frac{23}{3 \cdot 5} = 1\frac{8}{15} = 1.5333333333333334$$