Solve 21/7*24/5*31/3*41/2

$$2 \frac { 1 } { 7 } \times 2 \frac { 4 } { 5 } \times 3 \frac { 1 } { 3 } \times 4 \frac { 1 } { 2 }$$

Evaluate

$$90$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+1}{7}\times \frac{2\times 5+4}{5}\times \frac{3\times 3+1}{3}\times \frac{4\times 2+1}{2}$$

Add 14 and 1 to get 15.

$$\frac{15}{7}\times \frac{2\times 5+4}{5}\times \frac{3\times 3+1}{3}\times \frac{4\times 2+1}{2}$$

Multiply 2 and 5 to get 10.

$$\frac{15}{7}\times \frac{10+4}{5}\times \frac{3\times 3+1}{3}\times \frac{4\times 2+1}{2}$$

Add 10 and 4 to get 14.

$$\frac{15}{7}\times \frac{14}{5}\times \frac{3\times 3+1}{3}\times \frac{4\times 2+1}{2}$$

Multiply \frac{15}{7} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 14}{7\times 5}\times \frac{3\times 3+1}{3}\times \frac{4\times 2+1}{2}$$

Do the multiplications in the fraction \frac{15\times 14}{7\times 5}.

$$\frac{210}{35}\times \frac{3\times 3+1}{3}\times \frac{4\times 2+1}{2}$$

Divide 210 by 35 to get 6.

$$6\times \frac{3\times 3+1}{3}\times \frac{4\times 2+1}{2}$$

Multiply 3 and 3 to get 9.

$$6\times \frac{9+1}{3}\times \frac{4\times 2+1}{2}$$

Add 9 and 1 to get 10.

$$6\times \frac{10}{3}\times \frac{4\times 2+1}{2}$$

Express 6\times \frac{10}{3} as a single fraction.

$$\frac{6\times 10}{3}\times \frac{4\times 2+1}{2}$$

Multiply 6 and 10 to get 60.

$$\frac{60}{3}\times \frac{4\times 2+1}{2}$$

Divide 60 by 3 to get 20.

$$20\times \frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$20\times \frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$20\times \frac{9}{2}$$

Express 20\times \frac{9}{2} as a single fraction.

$$\frac{20\times 9}{2}$$

Multiply 20 and 9 to get 180.

$$\frac{180}{2}$$

Divide 180 by 2 to get 90.

$$90$$

Factor

$$2\times 3^{2}\times 5$$