Solve 1/3*22/7*24^2*40^2=1212

$$\frac { 1 } { 3 } \times \frac { 22 } { 7 } \times 24 ^ { 2 } \times 40 ^ { 2 } = 1212$$

Verify

Solution Steps

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

$$\frac{1\times 22}{3\times 7}\times 24^{2}\times 40^{2}=1212$$

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

$$\frac{22}{21}\times 24^{2}\times 40^{2}=1212$$

Calculate 24 to the power of 2 and get 576.

$$\frac{22}{21}\times 576\times 40^{2}=1212$$

Express \frac{22}{21}\times 576 as a single fraction.

$$\frac{22\times 576}{21}\times 40^{2}=1212$$

Multiply 22 and 576 to get 12672.

$$\frac{12672}{21}\times 40^{2}=1212$$

Reduce the fraction \frac{12672}{21} to lowest terms by extracting and canceling out 3.

$$\frac{4224}{7}\times 40^{2}=1212$$

Calculate 40 to the power of 2 and get 1600.

$$\frac{4224}{7}\times 1600=1212$$

Express \frac{4224}{7}\times 1600 as a single fraction.

$$\frac{4224\times 1600}{7}=1212$$

Multiply 4224 and 1600 to get 6758400.

$$\frac{6758400}{7}=1212$$

Convert 1212 to fraction \frac{8484}{7}.

$$\frac{6758400}{7}=\frac{8484}{7}$$

Compare \frac{6758400}{7} and \frac{8484}{7}.

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