Solve 9*68div95+100-6.44

$$9 \times 68 \div 95 + 100 - 6.44$$

Evaluate

$$\frac{47501}{475}\approx 100.002105263$$

Solution Steps

Multiply 9 and 68 to get 612.

$$\frac{612}{95}+100-6.44$$

Convert 100 to fraction \frac{9500}{95}.

$$\frac{612}{95}+\frac{9500}{95}-6.44$$

Since \frac{612}{95} and \frac{9500}{95} have the same denominator, add them by adding their numerators.

$$\frac{612+9500}{95}-6.44$$

Add 612 and 9500 to get 10112.

$$\frac{10112}{95}-6.44$$

Convert decimal number 6.44 to fraction \frac{644}{100}. Reduce the fraction \frac{644}{100} to lowest terms by extracting and canceling out 4.

$$\frac{10112}{95}-\frac{161}{25}$$

Least common multiple of 95 and 25 is 475. Convert \frac{10112}{95} and \frac{161}{25} to fractions with denominator 475.

$$\frac{50560}{475}-\frac{3059}{475}$$

Since \frac{50560}{475} and \frac{3059}{475} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50560-3059}{475}$$

Subtract 3059 from 50560 to get 47501.

$$\frac{47501}{475}$$

Factor

$$\frac{47501}{19 \cdot 5 ^ {2}} = 100\frac{1}{475} = 100.0021052631579$$