514+910

To write 514 as a fraction with a common denominator, multiply by 55.

514⋅55+910

To write 910 as a fraction with a common denominator, multiply by 77.

514⋅55+910⋅77

Multiply 514 and 55.

5⋅514⋅5+910⋅77

Multiply 14 by 5.

5⋅570+910⋅77

Multiply 910 and 77.

5⋅570+9⋅710⋅7

Multiply 10 by 7.

5⋅570+9⋅770

5⋅570+9⋅770

Combine the numerators over the common denominator.

5⋅5+9⋅770

Multiply 5 by 5.

25+9⋅770

Multiply 9 by 7.

25+6370

Add 25 and 63.

8870

8870

Factor 2 out of 88.

2(44)70

Cancel the common factors.

Factor 2 out of 70.

2⋅442⋅35

Cancel the common factor.

2⋅442⋅35

Rewrite the expression.

4435

4435

4435

Factor 5/14+9/10