Solve 1/8*3.14*100-1/4*3.14*25=1/2*5*5=

$$\frac { 1 } { 8 } \times 3.14 \times 100 - \frac { 1 } { 4 } \times 3.14 \times 25 = \frac { 1 } { 2 } \times 5 \times 5 =$$

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.

$$\frac{1}{8}\times \frac{157}{50}\times 100-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Multiply \frac{1}{8} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{8\times 50}\times 100-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Do the multiplications in the fraction \frac{1\times 157}{8\times 50}.

$$\frac{157}{400}\times 100-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Express \frac{157}{400}\times 100 as a single fraction.

$$\frac{157\times 100}{400}-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Multiply 157 and 100 to get 15700.

$$\frac{15700}{400}-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

Reduce the fraction \frac{15700}{400} to lowest terms by extracting and canceling out 100.

$$\frac{157}{4}-\frac{1}{4}\times 3.14\times 25=\frac{1}{2}\times 5\times 5$$

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.

$$\frac{157}{4}-\frac{1}{4}\times \frac{157}{50}\times 25=\frac{1}{2}\times 5\times 5$$

Multiply \frac{1}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157}{4}-\frac{1\times 157}{4\times 50}\times 25=\frac{1}{2}\times 5\times 5$$

Do the multiplications in the fraction \frac{1\times 157}{4\times 50}.

$$\frac{157}{4}-\frac{157}{200}\times 25=\frac{1}{2}\times 5\times 5$$

Express \frac{157}{200}\times 25 as a single fraction.

$$\frac{157}{4}-\frac{157\times 25}{200}=\frac{1}{2}\times 5\times 5$$

Multiply 157 and 25 to get 3925.

$$\frac{157}{4}-\frac{3925}{200}=\frac{1}{2}\times 5\times 5$$

Reduce the fraction \frac{3925}{200} to lowest terms by extracting and canceling out 25.

$$\frac{157}{4}-\frac{157}{8}=\frac{1}{2}\times 5\times 5$$

Least common multiple of 4 and 8 is 8. Convert \frac{157}{4} and \frac{157}{8} to fractions with denominator 8.

$$\frac{314}{8}-\frac{157}{8}=\frac{1}{2}\times 5\times 5$$

Since \frac{314}{8} and \frac{157}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{314-157}{8}=\frac{1}{2}\times 5\times 5$$

Subtract 157 from 314 to get 157.

$$\frac{157}{8}=\frac{1}{2}\times 5\times 5$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$\frac{157}{8}=\frac{5}{2}\times 5$$

Express \frac{5}{2}\times 5 as a single fraction.

$$\frac{157}{8}=\frac{5\times 5}{2}$$

Multiply 5 and 5 to get 25.

$$\frac{157}{8}=\frac{25}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{157}{8} and \frac{25}{2} to fractions with denominator 8.

$$\frac{157}{8}=\frac{100}{8}$$

Compare \frac{157}{8} and \frac{100}{8}.

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