Riya bought 7 m long ribbon. If she cuts it into pieces that are each 1½ m long, how many pieces can she cut from it?

To determine how many pieces Riya can cut from the 7-meter long ribbon, each piece being 1½ meters long, we need to divide the total length of the ribbon by the length of each piece. Here are the steps:

1. **Convert the mixed number to an improper fraction:**
   \[
   1 \frac{1}{2} = \frac{3}{2}
   \]

2. **Set up the division:**
   \[
   \text{Number of pieces} = \frac{7}{\frac{3}{2}}
   \]

3. **Divide by a fraction by multiplying by its reciprocal:**
   \[
   \frac{7}{\frac{3}{2}} = 7 \times \frac{2}{3} = \frac{7 \times 2}{3} = \frac{14}{3}
   \]

4. **Simplify the fraction:**
   \[
   \frac{14}{3} = 4 \frac{2}{3}
   \]

So, Riya can cut 4 full pieces of 1½ meters each from the ribbon. The remaining piece will be \( \frac{2}{3} \) meters long.

Would you like more details or have any questions?

Here are some other questions you might find interesting:
1. How many pieces can Riya cut if each piece is 1¼ meters long?
2. If Riya had 10 meters of ribbon instead, how many pieces of 1½ meters could she cut?
3. What fraction of the ribbon is left after cutting 4 pieces of 1½ meters?
4. How many pieces of 2 meters each can be cut from a 7-meter ribbon?
5. If the ribbon was cut into pieces of ¾ meter each, how many pieces would that be?

**Tip:** When working with fractions and mixed numbers, converting them to improper fractions can often simplify multiplication and division.

Discover how many 1½ meter pieces Riya can cut from a 7-meter long ribbon with a step-by-step solution. This problem involves fractions and division of fractions, suitable for Grades 4-6 mathematics education.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation