Solve 18.75=1/25.6*100

$$18.75= \frac{ 1 }{ 25.6 } \times 100$$

Verify

Solution Steps

Expand \frac{1}{25.6} by multiplying both numerator and the denominator by 10.

$$18.75=\frac{10}{256}\times 100$$

Reduce the fraction \frac{10}{256} to lowest terms by extracting and canceling out 2.

$$18.75=\frac{5}{128}\times 100$$

Express \frac{5}{128}\times 100 as a single fraction.

$$18.75=\frac{5\times 100}{128}$$

Multiply 5 and 100 to get 500.

$$18.75=\frac{500}{128}$$

Reduce the fraction \frac{500}{128} to lowest terms by extracting and canceling out 4.

$$18.75=\frac{125}{32}$$

Convert decimal number 18.75 to fraction \frac{1875}{100}. Reduce the fraction \frac{1875}{100} to lowest terms by extracting and canceling out 25.

$$\frac{75}{4}=\frac{125}{32}$$

Least common multiple of 4 and 32 is 32. Convert \frac{75}{4} and \frac{125}{32} to fractions with denominator 32.

$$\frac{600}{32}=\frac{125}{32}$$

Compare \frac{600}{32} and \frac{125}{32}.

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