Solve 1/3*22/7*1225/400*3

$$\frac { 1 } { 3 } \times \frac { 22 } { 7 } \times \frac { 1225 } { 400 } \times 3$$

Evaluate

$$\frac{77}{8}=9.625$$

Solution Steps

Multiply \frac{1}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{3\times 7}\times \frac{1225}{400}\times 3$$

Do the multiplications in the fraction \frac{1\times 22}{3\times 7}.

$$\frac{22}{21}\times \frac{1225}{400}\times 3$$

Reduce the fraction \frac{1225}{400} to lowest terms by extracting and canceling out 25.

$$\frac{22}{21}\times \frac{49}{16}\times 3$$

Multiply \frac{22}{21} times \frac{49}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 49}{21\times 16}\times 3$$

Do the multiplications in the fraction \frac{22\times 49}{21\times 16}.

$$\frac{1078}{336}\times 3$$

Reduce the fraction \frac{1078}{336} to lowest terms by extracting and canceling out 14.

$$\frac{77}{24}\times 3$$

Express \frac{77}{24}\times 3 as a single fraction.

$$\frac{77\times 3}{24}$$

Multiply 77 and 3 to get 231.

$$\frac{231}{24}$$

Reduce the fraction \frac{231}{24} to lowest terms by extracting and canceling out 3.

$$\frac{77}{8}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {3}} = 9\frac{5}{8} = 9.625$$