Solve (5.36+22/9)+(77/9+4.64)

$$(5.36+ 2 \frac { 2 } { 9 } )+( 7 \frac { 7 } { 9 } +4.64)$$

Evaluate

$$20$$

Solution Steps

Multiply 2 and 9 to get 18.

$$5.36+\frac{18+2}{9}+\frac{7\times 9+7}{9}+4.64$$

Add 18 and 2 to get 20.

$$5.36+\frac{20}{9}+\frac{7\times 9+7}{9}+4.64$$

Convert decimal number 5.36 to fraction \frac{536}{100}. Reduce the fraction \frac{536}{100} to lowest terms by extracting and canceling out 4.

$$\frac{134}{25}+\frac{20}{9}+\frac{7\times 9+7}{9}+4.64$$

Least common multiple of 25 and 9 is 225. Convert \frac{134}{25} and \frac{20}{9} to fractions with denominator 225.

$$\frac{1206}{225}+\frac{500}{225}+\frac{7\times 9+7}{9}+4.64$$

Since \frac{1206}{225} and \frac{500}{225} have the same denominator, add them by adding their numerators.

$$\frac{1206+500}{225}+\frac{7\times 9+7}{9}+4.64$$

Add 1206 and 500 to get 1706.

$$\frac{1706}{225}+\frac{7\times 9+7}{9}+4.64$$

Multiply 7 and 9 to get 63.

$$\frac{1706}{225}+\frac{63+7}{9}+4.64$$

Add 63 and 7 to get 70.

$$\frac{1706}{225}+\frac{70}{9}+4.64$$

Least common multiple of 225 and 9 is 225. Convert \frac{1706}{225} and \frac{70}{9} to fractions with denominator 225.

$$\frac{1706}{225}+\frac{1750}{225}+4.64$$

Since \frac{1706}{225} and \frac{1750}{225} have the same denominator, add them by adding their numerators.

$$\frac{1706+1750}{225}+4.64$$

Add 1706 and 1750 to get 3456.

$$\frac{3456}{225}+4.64$$

Reduce the fraction \frac{3456}{225} to lowest terms by extracting and canceling out 9.

$$\frac{384}{25}+4.64$$

Convert decimal number 4.64 to fraction \frac{464}{100}. Reduce the fraction \frac{464}{100} to lowest terms by extracting and canceling out 4.

$$\frac{384}{25}+\frac{116}{25}$$

Since \frac{384}{25} and \frac{116}{25} have the same denominator, add them by adding their numerators.

$$\frac{384+116}{25}$$

Add 384 and 116 to get 500.

$$\frac{500}{25}$$

Divide 500 by 25 to get 20.

$$20$$

Factor

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