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1.5.3 Quiz: Adding and Subtracting Unlike Fractions in Word Problems
Question 1 of 15
Solve the word problem below. Enter your answer in simplest terms, using the
slash () to represent the fraction bar.
You have cup of oatmeal in your cupboard. A recipe for cookies calls for
cup of oatmeal. How much oatmeal would you have left if you made the
cookies?
Answer here

Sagot :

GinnyAnswer
Certainly! Let's solve this word problem step-by-step:

1. Understand the problem:
- You have [tex]\( \frac{1}{4} \)[/tex] cup of oatmeal in your cupboard.
- The recipe for cookies requires [tex]\( \frac{1}{6} \)[/tex] cup of oatmeal.
- We need to find out how much oatmeal will be left after making the cookies.

2. Set up the subtraction:
- We need to subtract [tex]\( \frac{1}{6} \)[/tex] cup from [tex]\( \frac{1}{4} \)[/tex] cup:
[tex]\[ \frac{1}{4} - \frac{1}{6} \][/tex]

3. Find a common denominator:
- The denominators are 4 and 6. The least common denominator (LCD) of 4 and 6 is 12.

4. Convert the fractions to have the common denominator:
- Convert [tex]\( \frac{1}{4} \)[/tex] to an equivalent fraction with a denominator of 12:
[tex]\[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \][/tex]
- Convert [tex]\( \frac{1}{6} \)[/tex] to an equivalent fraction with a denominator of 12:
[tex]\[ \frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12} \][/tex]

5. Subtract the fractions:
- Now that the fractions have the same denominator, subtract the numerators:
[tex]\[ \frac{3}{12} - \frac{2}{12} = \frac{3 - 2}{12} = \frac{1}{12} \][/tex]

6. Write the answer:
- The amount of oatmeal left is [tex]\( \frac{1}{12} \)[/tex] cup.

So, after using [tex]\( \frac{1}{6} \)[/tex] cup of oatmeal from the [tex]\( \frac{1}{4} \)[/tex] cup you had, you would have [tex]\( \frac{1}{12} \)[/tex] cup of oatmeal left.

Answer:
[tex]\[ \frac{1}{12} \][/tex]
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