Solve 41/45-127/35

$$4 \frac { 1 } { 45 } - 1 \frac { 27 } { 35 }$$

Evaluate

$$\frac{709}{315}\approx 2.250793651$$

Solution Steps

Multiply 4 and 45 to get 180.

$$\frac{180+1}{45}-\frac{1\times 35+27}{35}$$

Add 180 and 1 to get 181.

$$\frac{181}{45}-\frac{1\times 35+27}{35}$$

Multiply 1 and 35 to get 35.

$$\frac{181}{45}-\frac{35+27}{35}$$

Add 35 and 27 to get 62.

$$\frac{181}{45}-\frac{62}{35}$$

Least common multiple of 45 and 35 is 315. Convert \frac{181}{45} and \frac{62}{35} to fractions with denominator 315.

$$\frac{1267}{315}-\frac{558}{315}$$

Since \frac{1267}{315} and \frac{558}{315} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1267-558}{315}$$

Subtract 558 from 1267 to get 709.

$$\frac{709}{315}$$

Factor

$$\frac{709}{3 ^ {2} \cdot 5 \cdot 7} = 2\frac{79}{315} = 2.250793650793651$$