Solve 1.7+51/50+3.98

$$1.7+5 \frac{ 1 }{ 50 } +3.98$$

Evaluate

$$10.7$$

Solution Steps

Multiply 5 and 50 to get 250.

$$1.7+\frac{250+1}{50}+3.98$$

Add 250 and 1 to get 251.

$$1.7+\frac{251}{50}+3.98$$

Convert decimal number 1.7 to fraction \frac{17}{10}.

$$\frac{17}{10}+\frac{251}{50}+3.98$$

Least common multiple of 10 and 50 is 50. Convert \frac{17}{10} and \frac{251}{50} to fractions with denominator 50.

$$\frac{85}{50}+\frac{251}{50}+3.98$$

Since \frac{85}{50} and \frac{251}{50} have the same denominator, add them by adding their numerators.

$$\frac{85+251}{50}+3.98$$

Add 85 and 251 to get 336.

$$\frac{336}{50}+3.98$$

Reduce the fraction \frac{336}{50} to lowest terms by extracting and canceling out 2.

$$\frac{168}{25}+3.98$$

Convert decimal number 3.98 to fraction \frac{398}{100}. Reduce the fraction \frac{398}{100} to lowest terms by extracting and canceling out 2.

$$\frac{168}{25}+\frac{199}{50}$$

Least common multiple of 25 and 50 is 50. Convert \frac{168}{25} and \frac{199}{50} to fractions with denominator 50.

$$\frac{336}{50}+\frac{199}{50}$$

Since \frac{336}{50} and \frac{199}{50} have the same denominator, add them by adding their numerators.

$$\frac{336+199}{50}$$

Add 336 and 199 to get 535.

$$\frac{535}{50}$$

Reduce the fraction \frac{535}{50} to lowest terms by extracting and canceling out 5.

$$\frac{107}{10}$$

Factor

$$\frac{107}{2 \cdot 5} = 10\frac{7}{10} = 10.7$$