Solve -54/45+41/15

$$- 5 \frac { 4 } { 45 } + 4 \frac { 1 } { 15 }$$

Evaluate

$$-\frac{46}{45}\approx -1.022222222$$

Solution Steps

Multiply 5 and 45 to get 225.

$$-\frac{225+4}{45}+\frac{4\times 15+1}{15}$$

Add 225 and 4 to get 229.

$$-\frac{229}{45}+\frac{4\times 15+1}{15}$$

Multiply 4 and 15 to get 60.

$$-\frac{229}{45}+\frac{60+1}{15}$$

Add 60 and 1 to get 61.

$$-\frac{229}{45}+\frac{61}{15}$$

Least common multiple of 45 and 15 is 45. Convert -\frac{229}{45} and \frac{61}{15} to fractions with denominator 45.

$$-\frac{229}{45}+\frac{183}{45}$$

Since -\frac{229}{45} and \frac{183}{45} have the same denominator, add them by adding their numerators.

$$\frac{-229+183}{45}$$

Add -229 and 183 to get -46.

$$-\frac{46}{45}$$

Factor

$$-\frac{46}{45} = -1\frac{1}{45} = -1.0222222222222221$$