Solve 51/10-41/4=

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

Evaluate

$$\frac{17}{20}=0.85$$

Solution Steps

Multiply 5 and 10 to get 50.

$$\frac{50+1}{10}-\frac{4\times 4+1}{4}$$

Add 50 and 1 to get 51.

$$\frac{51}{10}-\frac{4\times 4+1}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{51}{10}-\frac{16+1}{4}$$

Add 16 and 1 to get 17.

$$\frac{51}{10}-\frac{17}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{51}{10} and \frac{17}{4} to fractions with denominator 20.

$$\frac{102}{20}-\frac{85}{20}$$

Since \frac{102}{20} and \frac{85}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{102-85}{20}$$

Subtract 85 from 102 to get 17.

$$\frac{17}{20}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 5} = 0.85$$