Solve 6/35-8/45+63

$$\frac { 6 } { 35 } - \frac { 8 } { 45 } + 63$$

Evaluate

$$\frac{19843}{315}\approx 62.993650794$$

Solution Steps

Least common multiple of 35 and 45 is 315. Convert \frac{6}{35} and \frac{8}{45} to fractions with denominator 315.

$$\frac{54}{315}-\frac{56}{315}+63$$

Since \frac{54}{315} and \frac{56}{315} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-56}{315}+63$$

Subtract 56 from 54 to get -2.

$$-\frac{2}{315}+63$$

Convert 63 to fraction \frac{19845}{315}.

$$-\frac{2}{315}+\frac{19845}{315}$$

Since -\frac{2}{315} and \frac{19845}{315} have the same denominator, add them by adding their numerators.

$$\frac{-2+19845}{315}$$

Add -2 and 19845 to get 19843.

$$\frac{19843}{315}$$

Factor

$$\frac{19843}{3 ^ {2} \cdot 5 \cdot 7} = 62\frac{313}{315} = 62.993650793650794$$