# Evaluate 2/5-1/2+1/4

25-12+14
To write 25 as a fraction with a common denominator, multiply by 22.
25⋅22-12+14
To write -12 as a fraction with a common denominator, multiply by 55.
25⋅22-12⋅55+14
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 25 and 22.
2⋅25⋅2-12⋅55+14
Multiply 5 by 2.
2⋅210-12⋅55+14
Multiply 12 and 55.
2⋅210-52⋅5+14
Multiply 2 by 5.
2⋅210-510+14
2⋅210-510+14
Combine the numerators over the common denominator.
2⋅2-510+14
Simplify the numerator.
Multiply 2 by 2.
4-510+14
Subtract 5 from 4.
-110+14
-110+14
Move the negative in front of the fraction.
-110+14
To write -110 as a fraction with a common denominator, multiply by 22.
-110⋅22+14
To write 14 as a fraction with a common denominator, multiply by 55.
-110⋅22+14⋅55
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
Multiply 110 and 22.
-210⋅2+14⋅55
Multiply 10 by 2.
-220+14⋅55
Multiply 14 and 55.
-220+54⋅5
Multiply 4 by 5.
-220+520
-220+520
Combine the numerators over the common denominator.
-2+520