Solve 43/5-11/10=

$$4 \frac { 3 } { 5 } - 1 \frac { 1 } { 10 } =$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+3}{5}-\frac{1\times 10+1}{10}$$

Add 20 and 3 to get 23.

$$\frac{23}{5}-\frac{1\times 10+1}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{23}{5}-\frac{10+1}{10}$$

Add 10 and 1 to get 11.

$$\frac{23}{5}-\frac{11}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{23}{5} and \frac{11}{10} to fractions with denominator 10.

$$\frac{46}{10}-\frac{11}{10}$$

Since \frac{46}{10} and \frac{11}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{46-11}{10}$$

Subtract 11 from 46 to get 35.

$$\frac{35}{10}$$

Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$