Solve 1/81/45/83/4=frac{2}{16}frac{4}{16}frac{10}{16}frac{9}{16}

$$\frac{ 1 }{ 8 } \frac{ 1 }{ 4 } \frac{ 5 }{ 8 } \frac{ 3 }{ 4 } = \frac{ 2 }{ 16 } \frac{ 4 }{ 16 } \frac{ 10 }{ 16 } \frac{ 9 }{ 16 }$$

Verify

Solution Steps

Multiply \frac{1}{8} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{8\times 4}\times \frac{5}{8}\times \frac{3}{4}=\frac{2}{16}\times \frac{4}{16}\times \frac{10}{16}\times \frac{9}{16}$$

Do the multiplications in the fraction \frac{1\times 1}{8\times 4}.

$$\frac{1}{32}\times \frac{5}{8}\times \frac{3}{4}=\frac{2}{16}\times \frac{4}{16}\times \frac{10}{16}\times \frac{9}{16}$$

Multiply \frac{1}{32} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{32\times 8}\times \frac{3}{4}=\frac{2}{16}\times \frac{4}{16}\times \frac{10}{16}\times \frac{9}{16}$$

Do the multiplications in the fraction \frac{1\times 5}{32\times 8}.

$$\frac{5}{256}\times \frac{3}{4}=\frac{2}{16}\times \frac{4}{16}\times \frac{10}{16}\times \frac{9}{16}$$

Multiply \frac{5}{256} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{256\times 4}=\frac{2}{16}\times \frac{4}{16}\times \frac{10}{16}\times \frac{9}{16}$$

Do the multiplications in the fraction \frac{5\times 3}{256\times 4}.

$$\frac{15}{1024}=\frac{2}{16}\times \frac{4}{16}\times \frac{10}{16}\times \frac{9}{16}$$

Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.

$$\frac{15}{1024}=\frac{1}{8}\times \frac{4}{16}\times \frac{10}{16}\times \frac{9}{16}$$

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{15}{1024}=\frac{1}{8}\times \frac{1}{4}\times \frac{10}{16}\times \frac{9}{16}$$

Multiply \frac{1}{8} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{1024}=\frac{1\times 1}{8\times 4}\times \frac{10}{16}\times \frac{9}{16}$$

Do the multiplications in the fraction \frac{1\times 1}{8\times 4}.

$$\frac{15}{1024}=\frac{1}{32}\times \frac{10}{16}\times \frac{9}{16}$$

Reduce the fraction \frac{10}{16} to lowest terms by extracting and canceling out 2.

$$\frac{15}{1024}=\frac{1}{32}\times \frac{5}{8}\times \frac{9}{16}$$

Multiply \frac{1}{32} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{1024}=\frac{1\times 5}{32\times 8}\times \frac{9}{16}$$

Do the multiplications in the fraction \frac{1\times 5}{32\times 8}.

$$\frac{15}{1024}=\frac{5}{256}\times \frac{9}{16}$$

Multiply \frac{5}{256} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{1024}=\frac{5\times 9}{256\times 16}$$

Do the multiplications in the fraction \frac{5\times 9}{256\times 16}.

$$\frac{15}{1024}=\frac{45}{4096}$$

Least common multiple of 1024 and 4096 is 4096. Convert \frac{15}{1024} and \frac{45}{4096} to fractions with denominator 4096.

$$\frac{60}{4096}=\frac{45}{4096}$$

Compare \frac{60}{4096} and \frac{45}{4096}.

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