We are given the expression:
>
7/15 ÷ 3/4
---
Step 1: Understand division of fractions
To divide two fractions, we use the rule:
>
Dividing by a fraction is the same as multiplying by its reciprocal.
So,
>
a/b ÷ c/d = a/b × d/c
---
Step 2: Apply the rule
Here, we have:
>
7/15 ÷ 3/4 = 7/15 × 4/3
---
Step 3: Multiply the fractions
Multiply numerators together and denominators together:
> Numerator: 7 × 4 =
28
> Denominator: 15 × 3 =
45
So,
>
28/45
---
Step 4: Simplify (if possible)
Check if 28 and 45 have any common factors.
- Factors of 28: 1, 2, 4, 7, 14, 28
- Factors of 45: 1, 3, 5, 9, 15, 45
→
No common factors other than 1, so the fraction is already in simplest form.
---
✔ Final Answer:
>
28/45
This is the result of dividing 7/15 by 3/4.
Parent Tip: Review the logic above to help your child master the concept of dividing fractions.
