Solve +30%+1/16=11/13+1/3*26/33=

$$+ 30 \% + \frac { 1 } { 16 } = \frac { 11 } { 13 } + \frac { 1 } { 3 } \times \frac { 26 } { 33 } =$$

Verify

Solution Steps

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{3}{10}+\frac{1}{16}=\frac{11}{13}+\frac{1}{3}\times \frac{26}{33}$$

Least common multiple of 10 and 16 is 80. Convert \frac{3}{10} and \frac{1}{16} to fractions with denominator 80.

$$\frac{24}{80}+\frac{5}{80}=\frac{11}{13}+\frac{1}{3}\times \frac{26}{33}$$

Since \frac{24}{80} and \frac{5}{80} have the same denominator, add them by adding their numerators.

$$\frac{24+5}{80}=\frac{11}{13}+\frac{1}{3}\times \frac{26}{33}$$

Add 24 and 5 to get 29.

$$\frac{29}{80}=\frac{11}{13}+\frac{1}{3}\times \frac{26}{33}$$

Multiply \frac{1}{3} times \frac{26}{33} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29}{80}=\frac{11}{13}+\frac{1\times 26}{3\times 33}$$

Do the multiplications in the fraction \frac{1\times 26}{3\times 33}.

$$\frac{29}{80}=\frac{11}{13}+\frac{26}{99}$$

Least common multiple of 13 and 99 is 1287. Convert \frac{11}{13} and \frac{26}{99} to fractions with denominator 1287.

$$\frac{29}{80}=\frac{1089}{1287}+\frac{338}{1287}$$

Since \frac{1089}{1287} and \frac{338}{1287} have the same denominator, add them by adding their numerators.

$$\frac{29}{80}=\frac{1089+338}{1287}$$

Add 1089 and 338 to get 1427.

$$\frac{29}{80}=\frac{1427}{1287}$$

Least common multiple of 80 and 1287 is 102960. Convert \frac{29}{80} and \frac{1427}{1287} to fractions with denominator 102960.

$$\frac{37323}{102960}=\frac{114160}{102960}$$

Compare \frac{37323}{102960} and \frac{114160}{102960}.

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