Solve (35/11+6/4.5+1.2/1.5)

$$( \frac{ 35 }{ 11 } + \frac{ 6 }{ 4.5 } + \frac{ 1.2 }{ 1.5 } )$$

Evaluate

$$\frac{877}{165}\approx 5.315151515$$

Solution Steps

Expand \frac{6}{4.5} by multiplying both numerator and the denominator by 10.

$$\frac{35}{11}+\frac{60}{45}+\frac{1.2}{1.5}$$

Reduce the fraction \frac{60}{45} to lowest terms by extracting and canceling out 15.

$$\frac{35}{11}+\frac{4}{3}+\frac{1.2}{1.5}$$

Least common multiple of 11 and 3 is 33. Convert \frac{35}{11} and \frac{4}{3} to fractions with denominator 33.

$$\frac{105}{33}+\frac{44}{33}+\frac{1.2}{1.5}$$

Since \frac{105}{33} and \frac{44}{33} have the same denominator, add them by adding their numerators.

$$\frac{105+44}{33}+\frac{1.2}{1.5}$$

Add 105 and 44 to get 149.

$$\frac{149}{33}+\frac{1.2}{1.5}$$

Expand \frac{1.2}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{149}{33}+\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{149}{33}+\frac{4}{5}$$

Least common multiple of 33 and 5 is 165. Convert \frac{149}{33} and \frac{4}{5} to fractions with denominator 165.

$$\frac{745}{165}+\frac{132}{165}$$

Since \frac{745}{165} and \frac{132}{165} have the same denominator, add them by adding their numerators.

$$\frac{745+132}{165}$$

Add 745 and 132 to get 877.

$$\frac{877}{165}$$

Factor

$$\frac{877}{3 \cdot 5 \cdot 11} = 5\frac{52}{165} = 5.315151515151515$$