Question

Translate to an equation and solve: The sum of two-fifths and f is one-half.
Provide
f=

Answer 1

9/10

1/2+2/5

Since these fractions have different denominators, we need to find the least common multiple of the denominators.The least common multiple of 2 and 5 is 10, so we need to multiply to make each of the denominators = 10

1/2 ∗ 5/5 = 5/10

5/2∗ 2/2= 4/10

Since these fractions have the same denominator, we can just add the numerators

5/10+ 4/10 = 9/10

Answer 2

1/10

Explanation:

Begin by writing the given phrase as an equation. The sum of two-fifths and f can be written 2/5+f, and that term is equal to one-half, written 1/2. Written together,

2/5+f=1/2.

Begin by subtracting 25 from each side,

2/5+f−2/5=1/2−2/5.

Simplify and rewrite with a common denominator,

f=1/2⋅5/5−2/5⋅2/2

and simplify again,

f=5−4/10,

and solve for f,

f=110.