Solve 2.8%/100*98=2.744

$$\frac{ 2.8 \% }{ 100 } \times 98=2.744$$

Verify

Solution Steps

Multiply both sides of the equation by 100.

$$\frac{2.8}{100}\times 98=274.4$$

Expand \frac{2.8}{100} by multiplying both numerator and the denominator by 10.

$$\frac{28}{1000}\times 98=274.4$$

Reduce the fraction \frac{28}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{7}{250}\times 98=274.4$$

Express \frac{7}{250}\times 98 as a single fraction.

$$\frac{7\times 98}{250}=274.4$$

Multiply 7 and 98 to get 686.

$$\frac{686}{250}=274.4$$

Reduce the fraction \frac{686}{250} to lowest terms by extracting and canceling out 2.

$$\frac{343}{125}=274.4$$

Convert decimal number 274.4 to fraction \frac{2744}{10}. Reduce the fraction \frac{2744}{10} to lowest terms by extracting and canceling out 2.

$$\frac{343}{125}=\frac{1372}{5}$$

Least common multiple of 125 and 5 is 125. Convert \frac{343}{125} and \frac{1372}{5} to fractions with denominator 125.

$$\frac{343}{125}=\frac{34300}{125}$$

Compare \frac{343}{125} and \frac{34300}{125}.

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