Solve 1/33.14*2.7=2.826

$$\frac{ 1 }{ 3 } 3.14 \cdot 2.7 = 2.826$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 2.7=2.826$$

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

$$\frac{1\times 157}{3\times 50}\times 2.7=2.826$$

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

$$\frac{157}{150}\times 2.7=2.826$$

Convert decimal number 2.7 to fraction \frac{27}{10}.

$$\frac{157}{150}\times \frac{27}{10}=2.826$$

Multiply \frac{157}{150} times \frac{27}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 27}{150\times 10}=2.826$$

Do the multiplications in the fraction \frac{157\times 27}{150\times 10}.

$$\frac{4239}{1500}=2.826$$

Reduce the fraction \frac{4239}{1500} to lowest terms by extracting and canceling out 3.

$$\frac{1413}{500}=2.826$$

Convert decimal number 2.826 to fraction \frac{2826}{1000}. Reduce the fraction \frac{2826}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{1413}{500}=\frac{1413}{500}$$

Compare \frac{1413}{500} and \frac{1413}{500}.

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