Mrs. Tran washed 
3
8
 of her laundry. Her son washed 
1
3
 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Solve this on paper. Then check your work on Zearn.
Who washed most of the laundry?

3
8
 is greater than 
1
3

so 
Mrs. Tran
 washed most of the laundry.
Nice!
Solve this on paper. Then check your work on Zearn.
How much of the laundry still needs to be washed?
 of the laundry still needs to be washed.

To determine who washed most of the laundry, let's compare the two fractions \( \frac{3}{8} \) and \( \frac{1}{3} \):

### Step 1: Compare \( \frac{3}{8} \) and \( \frac{1}{3} \)
To compare these fractions, let's find a common denominator. The least common multiple (LCM) of 8 and 3 is 24.

- Convert \( \frac{3}{8} \) to have a denominator of 24:
  \[
  \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
  \]

- Convert \( \frac{1}{3} \) to have a denominator of 24:
  \[
  \frac{1}{3} = \frac{1 \times 8}{3 \times 8} = \frac{8}{24}
  \]

Since \( \frac{9}{24} \) is greater than \( \frac{8}{24} \), Mrs. Tran washed more laundry. 

### Step 2: How Much of the Laundry Still Needs to be Washed?
To find out how much laundry still needs to be washed, we need to add up what Mrs. Tran and her son washed and subtract that from 1 (representing all of the laundry).

1. Add the two fractions:
   \[
   \frac{3}{8} + \frac{1}{3}
   \]

   We already found that the common denominator is 24:
   \[
   \frac{3}{8} = \frac{9}{24}, \quad \frac{1}{3} = \frac{8}{24}
   \]
   \[
   \frac{9}{24} + \frac{8}{24} = \frac{17}{24}
   \]

2. Subtract from 1 (represented as \( \frac{24}{24} \)):
   \[
   1 - \frac{17}{24} = \frac{24}{24} - \frac{17}{24} = \frac{7}{24}
   \]

So, \( \frac{7}{24} \) of the laundry still needs to be washed.

### Conclusion:
- **Mrs. Tran washed most of the laundry** because \( \frac{3}{8} \) is greater than \( \frac{1}{3} \).
- **\( \frac{7}{24} \)** of the laundry still needs to be washed.

Would you like further details, or have any questions?

**Related Questions:**
1. How do you determine the least common multiple (LCM) of two numbers?
2. What are other methods to compare fractions besides finding a common denominator?
3. How can you simplify a fraction if the numerator and denominator have a common factor?
4. What happens if both fractions are equal? How would you handle that scenario?
5. Can you convert \( \frac{3}{8} \) and \( \frac{1}{3} \) to decimals and compare them?

**Tip:** Always simplify fractions to their lowest terms to make calculations easier.

Mrs. Tran washed 3/8 of her laundry. Her son washed 1/3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Explore how to compare and add fractions to determine who washed more laundry. Mrs. Tran washed 3/8, her son washed 1/3, and we solve for how much is left to be washed. This problem involves finding a common denominator and is suitable for students in Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation