Question
Quiz 5 Score: \( 4 / 9 \) Answered: \( 5 / 9 \) Question 6 Subtract and simplify the answer. If your answer is an improper fraction, rewrite it as a mixed numb \( \frac{53}{24}-\frac{20}{24} \)
Ask by George Lynch. in the United States
Feb 13,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The final answer is \( 1 \frac{3}{8} \).
Solution
To subtract the fractions, first notice that they have the same denominator:
53/24 - 20/24 = (53 - 20)/24 = 33/24
Now, simplify the fraction 33/24 by dividing the numerator and denominator by their greatest common factor, which is 3:
33 ÷ 3 = 11
24 ÷ 3 = 8
So, 33/24 simplifies to 11/8.
Since the answer is an improper fraction, convert it into a mixed number. Divide the numerator by the denominator:
11 ÷ 8 = 1 remainder 3
Thus, 11/8 = 1 3/8.
The final answer is 1 3/8.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
When you subtract the fractions \( \frac{53}{24} - \frac{20}{24} \), you simply subtract the numerators while keeping the denominator the same. This gives you: \[ \frac{53 - 20}{24} = \frac{33}{24} \] Now, to simplify \( \frac{33}{24} \), you can see that both the numerator and denominator can be divided by 3. This gives: \[ \frac{33 \div 3}{24 \div 3} = \frac{11}{8} \] Since \( \frac{11}{8} \) is an improper fraction (the numerator is larger than the denominator), you can convert it into a mixed number. Divide 11 by 8, which goes 1 time, with a remainder of 3. So, it can be expressed as: \[ 1 \frac{3}{8} \] Final answer: \( 1 \frac{3}{8} \)
