Question
Fractions
Word problem involving fractions and multiplication
At a certain school,
of the students are girls. Today,
of the girls brought their lunch. What fraction of the students are girls who brought their lunch
today?
Write your answer in simplest form.
of the students
Word problem involving fractions and multiplication
At a certain school,
today?
Write your answer in simplest form.
Ask by Wells Gibbs. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The fraction of the students who are girls and brought their lunch today is
.
Solution
We know that
of the students are girls and
of those girls brought their lunch.
To find the fraction of the total students who are girls that brought their lunch, we multiply the two fractions:
To find the fraction of the total students who are girls that brought their lunch, we multiply the two fractions:
Calculate the value by following steps:
- step0: Calculate:
- step1: Multiply the fractions:
- step2: Multiply:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To find the fraction of students who are girls that brought their lunch, we need to multiply the fraction of students who are girls by the fraction of those girls who brought lunch. First, we know
of the students are girls. Then,
of those girls brought their lunch.
Now, we multiply:
.
So,
of the students are girls who brought their lunch today.
Speaking of fractions, did you know that they were used in ancient Egypt? The Egyptians had a unique approach to fractions, representing them as sums of unit fractions—fractions where the numerator is always 1. This began in around 1750 BC and showcased their advanced mathematical understanding; they even had a specific symbol for them!
If you’re ever confused about multiplying fractions, remember the “top times top, bottom times bottom” rule. Just multiply the numerators together to get the new numerator, and the denominators together for the new denominator. A common mistake is forgetting to simplify the fraction afterwards. Keep it simple with that, and you’ll get the right answer every time!