Solve 145+77/60-38/45

$$145 + 7 \frac { 7 } { 60 } - 3 \frac { 8 } { 45 }$$

Evaluate

$$\frac{26809}{180}\approx 148.938888889$$

Solution Steps

Multiply 7 and 60 to get 420.

$$145+\frac{420+7}{60}-\frac{3\times 45+8}{45}$$

Add 420 and 7 to get 427.

$$145+\frac{427}{60}-\frac{3\times 45+8}{45}$$

Convert 145 to fraction \frac{8700}{60}.

$$\frac{8700}{60}+\frac{427}{60}-\frac{3\times 45+8}{45}$$

Since \frac{8700}{60} and \frac{427}{60} have the same denominator, add them by adding their numerators.

$$\frac{8700+427}{60}-\frac{3\times 45+8}{45}$$

Add 8700 and 427 to get 9127.

$$\frac{9127}{60}-\frac{3\times 45+8}{45}$$

Multiply 3 and 45 to get 135.

$$\frac{9127}{60}-\frac{135+8}{45}$$

Add 135 and 8 to get 143.

$$\frac{9127}{60}-\frac{143}{45}$$

Least common multiple of 60 and 45 is 180. Convert \frac{9127}{60} and \frac{143}{45} to fractions with denominator 180.

$$\frac{27381}{180}-\frac{572}{180}$$

Since \frac{27381}{180} and \frac{572}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27381-572}{180}$$

Subtract 572 from 27381 to get 26809.

$$\frac{26809}{180}$$

Factor

$$\frac{17 \cdot 19 \cdot 83}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 148\frac{169}{180} = 148.9388888888889$$