Solve 12/7*24/5-1/4

$$1 \frac { 2 } { 7 } \times 2 \frac { 4 } { 5 } - \frac { 1 } { 4 }$$

Evaluate

$$\frac{67}{20}=3.35$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{7+2}{7}\times \frac{2\times 5+4}{5}-\frac{1}{4}$$

Add 7 and 2 to get 9.

$$\frac{9}{7}\times \frac{2\times 5+4}{5}-\frac{1}{4}$$

Multiply 2 and 5 to get 10.

$$\frac{9}{7}\times \frac{10+4}{5}-\frac{1}{4}$$

Add 10 and 4 to get 14.

$$\frac{9}{7}\times \frac{14}{5}-\frac{1}{4}$$

Multiply \frac{9}{7} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 14}{7\times 5}-\frac{1}{4}$$

Do the multiplications in the fraction \frac{9\times 14}{7\times 5}.

$$\frac{126}{35}-\frac{1}{4}$$

Reduce the fraction \frac{126}{35} to lowest terms by extracting and canceling out 7.

$$\frac{18}{5}-\frac{1}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{18}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{72}{20}-\frac{5}{20}$$

Since \frac{72}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-5}{20}$$

Subtract 5 from 72 to get 67.

$$\frac{67}{20}$$

Factor

$$\frac{67}{2 ^ {2} \cdot 5} = 3\frac{7}{20} = 3.35$$