Solve 8.34-972/1225-108/49=

$$8.34- \frac{ 972 }{ 1225 } - \frac{ 108 }{ 49 } =$$

Evaluate

$$\frac{13089}{2450}\approx 5.34244898$$

Solution Steps

Convert decimal number 8.34 to fraction \frac{834}{100}. Reduce the fraction \frac{834}{100} to lowest terms by extracting and canceling out 2.

$$\frac{417}{50}-\frac{972}{1225}-\frac{108}{49}$$

Least common multiple of 50 and 1225 is 2450. Convert \frac{417}{50} and \frac{972}{1225} to fractions with denominator 2450.

$$\frac{20433}{2450}-\frac{1944}{2450}-\frac{108}{49}$$

Since \frac{20433}{2450} and \frac{1944}{2450} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20433-1944}{2450}-\frac{108}{49}$$

Subtract 1944 from 20433 to get 18489.

$$\frac{18489}{2450}-\frac{108}{49}$$

Least common multiple of 2450 and 49 is 2450. Convert \frac{18489}{2450} and \frac{108}{49} to fractions with denominator 2450.

$$\frac{18489}{2450}-\frac{5400}{2450}$$

Since \frac{18489}{2450} and \frac{5400}{2450} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18489-5400}{2450}$$

Subtract 5400 from 18489 to get 13089.

$$\frac{13089}{2450}$$

Factor

$$\frac{3 \cdot 4363}{2 \cdot 5 ^ {2} \cdot 7 ^ {2}} = 5\frac{839}{2450} = 5.342448979591837$$