Solve 5/4+5/4+0,5=4/5

$$\frac { 5 } { 4 } + \frac { 5 } { 4 } + 0,5 = \frac { 4 } { 5 }$$

Verify

Solution Steps

Since \frac{5}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{5+5}{4}+0,5=\frac{4}{5}$$

Add 5 and 5 to get 10.

$$\frac{10}{4}+0,5=\frac{4}{5}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}+0,5=\frac{4}{5}$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}+\frac{1}{2}=\frac{4}{5}$$

Since \frac{5}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+1}{2}=\frac{4}{5}$$

Add 5 and 1 to get 6.

$$\frac{6}{2}=\frac{4}{5}$$

Divide 6 by 2 to get 3.

$$3=\frac{4}{5}$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{15}{5}=\frac{4}{5}$$

Compare \frac{15}{5} and \frac{4}{5}.

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