Solve (43/8-12/3):33/4=

$$( 4 \frac { 3 } { 8 } - 1 \frac { 2 } { 3 } ) : 3 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{13}{18}\approx 0.722222222$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{\frac{32+3}{8}-\frac{1\times 3+2}{3}}{\frac{3\times 4+3}{4}}$$

Add 32 and 3 to get 35.

$$\frac{\frac{35}{8}-\frac{1\times 3+2}{3}}{\frac{3\times 4+3}{4}}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{35}{8}-\frac{3+2}{3}}{\frac{3\times 4+3}{4}}$$

Add 3 and 2 to get 5.

$$\frac{\frac{35}{8}-\frac{5}{3}}{\frac{3\times 4+3}{4}}$$

Least common multiple of 8 and 3 is 24. Convert \frac{35}{8} and \frac{5}{3} to fractions with denominator 24.

$$\frac{\frac{105}{24}-\frac{40}{24}}{\frac{3\times 4+3}{4}}$$

Since \frac{105}{24} and \frac{40}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{105-40}{24}}{\frac{3\times 4+3}{4}}$$

Subtract 40 from 105 to get 65.

$$\frac{\frac{65}{24}}{\frac{3\times 4+3}{4}}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{65}{24}}{\frac{12+3}{4}}$$

Add 12 and 3 to get 15.

$$\frac{\frac{65}{24}}{\frac{15}{4}}$$

Divide \frac{65}{24} by \frac{15}{4} by multiplying \frac{65}{24} by the reciprocal of \frac{15}{4}.

$$\frac{65}{24}\times \frac{4}{15}$$

Multiply \frac{65}{24} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 4}{24\times 15}$$

Do the multiplications in the fraction \frac{65\times 4}{24\times 15}.

$$\frac{260}{360}$$

Reduce the fraction \frac{260}{360} to lowest terms by extracting and canceling out 20.

$$\frac{13}{18}$$

Factor

$$\frac{13}{2 \cdot 3 ^ {2}} = 0.7222222222222222$$