Solve 97+80/48+27/48+37/48=

$$97+ \frac{ 80 }{ 48 } + \frac{ 27 }{ 48 } + \frac{ 37 }{ 48 } =$$

Evaluate

$$100$$

Solution Steps

Reduce the fraction \frac{80}{48} to lowest terms by extracting and canceling out 16.

$$97+\frac{5}{3}+\frac{27}{48}+\frac{37}{48}$$

Convert 97 to fraction \frac{291}{3}.

$$\frac{291}{3}+\frac{5}{3}+\frac{27}{48}+\frac{37}{48}$$

Since \frac{291}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{291+5}{3}+\frac{27}{48}+\frac{37}{48}$$

Add 291 and 5 to get 296.

$$\frac{296}{3}+\frac{27}{48}+\frac{37}{48}$$

Reduce the fraction \frac{27}{48} to lowest terms by extracting and canceling out 3.

$$\frac{296}{3}+\frac{9}{16}+\frac{37}{48}$$

Least common multiple of 3 and 16 is 48. Convert \frac{296}{3} and \frac{9}{16} to fractions with denominator 48.

$$\frac{4736}{48}+\frac{27}{48}+\frac{37}{48}$$

Since \frac{4736}{48} and \frac{27}{48} have the same denominator, add them by adding their numerators.

$$\frac{4736+27}{48}+\frac{37}{48}$$

Add 4736 and 27 to get 4763.

$$\frac{4763}{48}+\frac{37}{48}$$

Since \frac{4763}{48} and \frac{37}{48} have the same denominator, add them by adding their numerators.

$$\frac{4763+37}{48}$$

Add 4763 and 37 to get 4800.

$$\frac{4800}{48}$$

Divide 4800 by 48 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$