Solve 43/8-7/16*4/21

$$4 \frac { 3 } { 8 } - \frac { 7 } { 16 } \times \frac { 4 } { 21 }$$

Evaluate

$$\frac{103}{24}\approx 4.291666667$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+3}{8}-\frac{7}{16}\times \frac{4}{21}$$

Add 32 and 3 to get 35.

$$\frac{35}{8}-\frac{7}{16}\times \frac{4}{21}$$

Multiply \frac{7}{16} times \frac{4}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35}{8}-\frac{7\times 4}{16\times 21}$$

Do the multiplications in the fraction \frac{7\times 4}{16\times 21}.

$$\frac{35}{8}-\frac{28}{336}$$

Reduce the fraction \frac{28}{336} to lowest terms by extracting and canceling out 28.

$$\frac{35}{8}-\frac{1}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{35}{8} and \frac{1}{12} to fractions with denominator 24.

$$\frac{105}{24}-\frac{2}{24}$$

Since \frac{105}{24} and \frac{2}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-2}{24}$$

Subtract 2 from 105 to get 103.

$$\frac{103}{24}$$

Factor

$$\frac{103}{2 ^ {3} \cdot 3} = 4\frac{7}{24} = 4.291666666666667$$