Solve [4/3*22/7*0.5*0.5*0.5]=1/12*22/7*5*5*8

$$[ \frac { 4 } { 3 } \times \frac { 22 } { 7 } \times 0.5 \times 0.5 \times 0.5 ] = \frac { 1 } { 12 } \times \frac { 22 } { 7 } \times 5 \times 5 \times 8$$

Verify

Solution Steps

Cancel out \frac{22}{7} on both sides.

$$\frac{4}{3}\times 0.5\times 0.5\times 0.5=\frac{1}{12}\times 5\times 5\times 8$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{4}{3}\times \frac{1}{2}\times 0.5\times 0.5=\frac{1}{12}\times 5\times 5\times 8$$

Multiply \frac{4}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1}{3\times 2}\times 0.5\times 0.5=\frac{1}{12}\times 5\times 5\times 8$$

Do the multiplications in the fraction \frac{4\times 1}{3\times 2}.

$$\frac{4}{6}\times 0.5\times 0.5=\frac{1}{12}\times 5\times 5\times 8$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}\times 0.5\times 0.5=\frac{1}{12}\times 5\times 5\times 8$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{2}{3}\times \frac{1}{2}\times 0.5=\frac{1}{12}\times 5\times 5\times 8$$

Multiply \frac{2}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{3\times 2}\times 0.5=\frac{1}{12}\times 5\times 5\times 8$$

Cancel out 2 in both numerator and denominator.

$$\frac{1}{3}\times 0.5=\frac{1}{12}\times 5\times 5\times 8$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}\times \frac{1}{2}=\frac{1}{12}\times 5\times 5\times 8$$

Multiply \frac{1}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 2}=\frac{1}{12}\times 5\times 5\times 8$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 2}.

$$\frac{1}{6}=\frac{1}{12}\times 5\times 5\times 8$$

Multiply \frac{1}{12} and 5 to get \frac{5}{12}.

$$\frac{1}{6}=\frac{5}{12}\times 5\times 8$$

Express \frac{5}{12}\times 5 as a single fraction.

$$\frac{1}{6}=\frac{5\times 5}{12}\times 8$$

Multiply 5 and 5 to get 25.

$$\frac{1}{6}=\frac{25}{12}\times 8$$

Express \frac{25}{12}\times 8 as a single fraction.

$$\frac{1}{6}=\frac{25\times 8}{12}$$

Multiply 25 and 8 to get 200.

$$\frac{1}{6}=\frac{200}{12}$$

Reduce the fraction \frac{200}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}=\frac{50}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{50}{3} to fractions with denominator 6.

$$\frac{1}{6}=\frac{100}{6}$$

Compare \frac{1}{6} and \frac{100}{6}.

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