Solve 53/4+91/5+102/5

$$5 \frac { 3 } { 4 } + 9 \frac { 1 } { 5 } + 10 \frac { 2 } { 5 }$$

Evaluate

$$\frac{507}{20}=25.35$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}+\frac{9\times 5+1}{5}+\frac{10\times 5+2}{5}$$

Add 20 and 3 to get 23.

$$\frac{23}{4}+\frac{9\times 5+1}{5}+\frac{10\times 5+2}{5}$$

Multiply 9 and 5 to get 45.

$$\frac{23}{4}+\frac{45+1}{5}+\frac{10\times 5+2}{5}$$

Add 45 and 1 to get 46.

$$\frac{23}{4}+\frac{46}{5}+\frac{10\times 5+2}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{23}{4} and \frac{46}{5} to fractions with denominator 20.

$$\frac{115}{20}+\frac{184}{20}+\frac{10\times 5+2}{5}$$

Since \frac{115}{20} and \frac{184}{20} have the same denominator, add them by adding their numerators.

$$\frac{115+184}{20}+\frac{10\times 5+2}{5}$$

Add 115 and 184 to get 299.

$$\frac{299}{20}+\frac{10\times 5+2}{5}$$

Multiply 10 and 5 to get 50.

$$\frac{299}{20}+\frac{50+2}{5}$$

Add 50 and 2 to get 52.

$$\frac{299}{20}+\frac{52}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{299}{20} and \frac{52}{5} to fractions with denominator 20.

$$\frac{299}{20}+\frac{208}{20}$$

Since \frac{299}{20} and \frac{208}{20} have the same denominator, add them by adding their numerators.

$$\frac{299+208}{20}$$

Add 299 and 208 to get 507.

$$\frac{507}{20}$$

Factor

$$\frac{3 \cdot 13 ^ {2}}{2 ^ {2} \cdot 5} = 25\frac{7}{20} = 25.35$$