Solve 356/100+(67/10-23/4)

$$3 \frac { 56 } { 100 } + ( 6 \frac { 7 } { 10 } - 2 \frac { 3 } { 4 } )$$

Evaluate

$$\frac{751}{100}=7.51$$

Solution Steps

Multiply 3 and 100 to get 300.

$$\frac{300+56}{100}+\frac{6\times 10+7}{10}-\frac{2\times 4+3}{4}$$

Add 300 and 56 to get 356.

$$\frac{356}{100}+\frac{6\times 10+7}{10}-\frac{2\times 4+3}{4}$$

Reduce the fraction \frac{356}{100} to lowest terms by extracting and canceling out 4.

$$\frac{89}{25}+\frac{6\times 10+7}{10}-\frac{2\times 4+3}{4}$$

Multiply 6 and 10 to get 60.

$$\frac{89}{25}+\frac{60+7}{10}-\frac{2\times 4+3}{4}$$

Add 60 and 7 to get 67.

$$\frac{89}{25}+\frac{67}{10}-\frac{2\times 4+3}{4}$$

Least common multiple of 25 and 10 is 50. Convert \frac{89}{25} and \frac{67}{10} to fractions with denominator 50.

$$\frac{178}{50}+\frac{335}{50}-\frac{2\times 4+3}{4}$$

Since \frac{178}{50} and \frac{335}{50} have the same denominator, add them by adding their numerators.

$$\frac{178+335}{50}-\frac{2\times 4+3}{4}$$

Add 178 and 335 to get 513.

$$\frac{513}{50}-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{513}{50}-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{513}{50}-\frac{11}{4}$$

Least common multiple of 50 and 4 is 100. Convert \frac{513}{50} and \frac{11}{4} to fractions with denominator 100.

$$\frac{1026}{100}-\frac{275}{100}$$

Since \frac{1026}{100} and \frac{275}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1026-275}{100}$$

Subtract 275 from 1026 to get 751.

$$\frac{751}{100}$$

Factor

$$\frac{751}{2 ^ {2} \cdot 5 ^ {2}} = 7\frac{51}{100} = 7.51$$