Solve 3.2+113/20=

$$3.2 + 1 \frac { 13 } { 20 } =$$

Evaluate

$$4.85$$

Solution Steps

Multiply 1 and 20 to get 20.

$$3.2+\frac{20+13}{20}$$

Add 20 and 13 to get 33.

$$3.2+\frac{33}{20}$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}+\frac{33}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{16}{5} and \frac{33}{20} to fractions with denominator 20.

$$\frac{64}{20}+\frac{33}{20}$$

Since \frac{64}{20} and \frac{33}{20} have the same denominator, add them by adding their numerators.

$$\frac{64+33}{20}$$

Add 64 and 33 to get 97.

$$\frac{97}{20}$$

Factor

$$\frac{97}{5 \cdot 2 ^ {2}} = 4\frac{17}{20} = 4.85$$