Solve 1/3*3.14*240=25/12

$$\frac { 1 } { 3 } \times 3.14 \times 240 = 25 / 12$$

Verify

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{157}{50}\times 240=\frac{25}{12}$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{3\times 50}\times 240=\frac{25}{12}$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$\frac{157}{150}\times 240=\frac{25}{12}$$

Express \frac{157}{150}\times 240 as a single fraction.

$$\frac{157\times 240}{150}=\frac{25}{12}$$

Multiply 157 and 240 to get 37680.

$$\frac{37680}{150}=\frac{25}{12}$$

Reduce the fraction \frac{37680}{150} to lowest terms by extracting and canceling out 30.

$$\frac{1256}{5}=\frac{25}{12}$$

Least common multiple of 5 and 12 is 60. Convert \frac{1256}{5} and \frac{25}{12} to fractions with denominator 60.

$$\frac{15072}{60}=\frac{125}{60}$$

Compare \frac{15072}{60} and \frac{125}{60}.

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