Solve 107/1.5+284/5+1265/17.5+536/12=

$$\frac{ 107 }{ 1.5 } + \frac{ 284 }{ 5 } + \frac{ 1265 }{ 17.5 } + \frac{ 536 }{ 12 } =$$

Evaluate

$$\frac{8578}{35}\approx 245.085714286$$

Solution Steps

Expand \frac{107}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{1070}{15}+\frac{284}{5}+\frac{1265}{17.5}+\frac{536}{12}$$

Reduce the fraction \frac{1070}{15} to lowest terms by extracting and canceling out 5.

$$\frac{214}{3}+\frac{284}{5}+\frac{1265}{17.5}+\frac{536}{12}$$

Least common multiple of 3 and 5 is 15. Convert \frac{214}{3} and \frac{284}{5} to fractions with denominator 15.

$$\frac{1070}{15}+\frac{852}{15}+\frac{1265}{17.5}+\frac{536}{12}$$

Since \frac{1070}{15} and \frac{852}{15} have the same denominator, add them by adding their numerators.

$$\frac{1070+852}{15}+\frac{1265}{17.5}+\frac{536}{12}$$

Add 1070 and 852 to get 1922.

$$\frac{1922}{15}+\frac{1265}{17.5}+\frac{536}{12}$$

Expand \frac{1265}{17.5} by multiplying both numerator and the denominator by 10.

$$\frac{1922}{15}+\frac{12650}{175}+\frac{536}{12}$$

Reduce the fraction \frac{12650}{175} to lowest terms by extracting and canceling out 25.

$$\frac{1922}{15}+\frac{506}{7}+\frac{536}{12}$$

Least common multiple of 15 and 7 is 105. Convert \frac{1922}{15} and \frac{506}{7} to fractions with denominator 105.

$$\frac{13454}{105}+\frac{7590}{105}+\frac{536}{12}$$

Since \frac{13454}{105} and \frac{7590}{105} have the same denominator, add them by adding their numerators.

$$\frac{13454+7590}{105}+\frac{536}{12}$$

Add 13454 and 7590 to get 21044.

$$\frac{21044}{105}+\frac{536}{12}$$

Reduce the fraction \frac{536}{12} to lowest terms by extracting and canceling out 4.

$$\frac{21044}{105}+\frac{134}{3}$$

Least common multiple of 105 and 3 is 105. Convert \frac{21044}{105} and \frac{134}{3} to fractions with denominator 105.

$$\frac{21044}{105}+\frac{4690}{105}$$

Since \frac{21044}{105} and \frac{4690}{105} have the same denominator, add them by adding their numerators.

$$\frac{21044+4690}{105}$$

Add 21044 and 4690 to get 25734.

$$\frac{25734}{105}$$

Reduce the fraction \frac{25734}{105} to lowest terms by extracting and canceling out 3.

$$\frac{8578}{35}$$

Factor

$$\frac{2 \cdot 4289}{5 \cdot 7} = 245\frac{3}{35} = 245.0857142857143$$