Kim and Courtney share a 16-ounce box of cereal. By the end of the week, Kim has eaten [tex]\frac{3}{8}[/tex] of the box, and Courtney has eaten [tex]\frac{1}{4}[/tex] of the box of cereal. What fraction of the box is left?
Answer (3)
No. of ounces Kim ate = 3/8 * 16 = 6 ounces No. of ounces Courtney ate = 1/4 * 16 = 4 ounces No. of ounces left = Total amt. of cereals - Kim's share - Courtney's share = 16 - 6 - 4 =6 ounces Fraction of left over cereal = 6/16 = 3/8
³/₈
Further explanation
We will solve the problem of subtraction between fractions.
Given:
Kim and Courtney share a 16-ounce of the box of cereal.
By the end of the week:
Kim has eaten ³/₈ of the box, and
Courtney has eaten ¹/₄ of the box of cereal.
Question:
What fraction of the box is left?
The Process:
Kim has eaten ³/₈ of the box of cereal. Let's calculate how many fractions of the box are left after Kim has eaten them.
1 − 8 3 = ?
8 8 − 8 3 = 8 5
Hence, the rest of the box after Kim has eaten ³/₈ of the box is
8 5
Furthermore, Courtney has eaten ¹/₄ of the box of cereal. Let's calculate how many fractions of the box are left again after Courtney ate the remaining part since Kim had eaten it before.
8 5 − 4 1 = ?
Before we subtract, the denominator must be equated. Prepare ¹/₄ to be ²/₈. The numerator and denominator are multiplied by two.
8 5 − 8 2 = 8 3
Thus, the fraction of the box left after Kim and Courtney have eaten is 8 3 . T h e A n s w er
Quick Steps:
1 − 8 3 − 4 1 = ?
8 8 − 8 3 − 8 2 = 8 3
The summary scheme is as follows:
Initial conditions
⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ → o n e p a r t = 8 8
Kim has eaten ³/₈ of the box: ⋅ ⋅ ⋅ → 8 3
Courtney has eaten ¹/₄ (or ²/₈) of the box: ⋅ ⋅ → 8 2
Final conditions
⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ is subtracted by ⋅ ⋅ ⋅ and is subtracted by ⋅ ⋅ equal ⋅ ⋅ ⋅ as the remaining part → 8 3
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Keywords: Kim and Courtney, share, a 16-ounce of the box of cereal, ³/₈ of the box, ¹/₄, what fraction of the box is left, ³/₈, subtraction, the denominator, the numerator
Kim has eaten 8 3 of the cereal, and Courtney has eaten 4 1 , which is equivalent to 8 2 . Adding these gives 8 5 total eaten. Thus, the fraction of the cereal left is 8 3 .
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