If Fran’s fudge recipe calls for 2 and one-half cups of sugar and she increases it by two-fifths of a cup, how much sugar does she use? (1 point)
two and two-tenths
2three-sevenths
2four-ninths
2start fraction 9 over 10 end fraction
To find the answer, we first need to add 2 and one-half cups of sugar to two-fifths of a cup.
To do this, we need to convert the fractions to have the same denominator.
One-half can be expressed as two-tenths because 1/2 is equivalent to 5/10, and when simplified, it becomes 1/10 which is equal to two-tenths.
Now we have 2 and two-tenths cups as the starting value.
Adding two-fifths of a cup, we need to find a common denominator. The least common denominator for tenths and fifths is 10.
To convert fifths into tenths, multiply the numerator and denominator by 2. So, two-fifths becomes four-tenths (2/5 * 2/2 = 4/10).
Now, we can add: 2 and two-tenths + four-tenths = 2 and six-tenths.
Therefore, Fran uses 2 and six-tenths cups of sugar for her fudge recipe.