Martha is making a recipe that requires 2/5 of a cup of sugar. She only has 1/3 of a cup of sugar at home, thought what fraction of the recipe can Martha make with the amount of sugar she has
A. 5/6
B. 5/9
C.6/5
D.3/8
To determine the fraction of the recipe Martha can make with the amount of sugar she has, we need to divide the amount of sugar she has (1/3) by the amount required for the recipe (2/5).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, we have (1/3) / (2/5), which is the same as (1/3) * (5/2).
Multiplying the numerators gives us 1 * 5 = 5, and multiplying the denominators gives us 3 * 2 = 6.
Thus, the fraction of the recipe Martha can make with the amount of sugar she has is 5/6.
Therefore, the answer is A. 5/6.