Solve 13/1:(10/9+25/9+4/9)=frac{15}{9}

$$\frac { 13 } { 1 } : ( \frac { 10 } { 9 } + \frac { 25 } { 9 } + \frac { 4 } { 9 } ) = \frac { 15 } { 9 }$$

Verify

Solution Steps

Anything divided by one gives itself.

$$\frac{13}{\frac{10}{9}+\frac{25}{9}+\frac{4}{9}}=\frac{15}{9}$$

Since \frac{10}{9} and \frac{25}{9} have the same denominator, add them by adding their numerators.

$$\frac{13}{\frac{10+25}{9}+\frac{4}{9}}=\frac{15}{9}$$

Add 10 and 25 to get 35.

$$\frac{13}{\frac{35}{9}+\frac{4}{9}}=\frac{15}{9}$$

Since \frac{35}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{13}{\frac{35+4}{9}}=\frac{15}{9}$$

Add 35 and 4 to get 39.

$$\frac{13}{\frac{39}{9}}=\frac{15}{9}$$

Reduce the fraction \frac{39}{9} to lowest terms by extracting and canceling out 3.

$$\frac{13}{\frac{13}{3}}=\frac{15}{9}$$

Divide 13 by \frac{13}{3} by multiplying 13 by the reciprocal of \frac{13}{3}.

$$13\times \frac{3}{13}=\frac{15}{9}$$

Cancel out 13 and 13.

$$3=\frac{15}{9}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$3=\frac{5}{3}$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{9}{3}=\frac{5}{3}$$

Compare \frac{9}{3} and \frac{5}{3}.

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