You're looking at a math problem that shows how to
multiply two fractions and then
simplify the result.
---
🔢 Step-by-Step Solution:
#### 1.
Multiply the Fractions
The original problem is:
> \(\frac{1}{2} \times \frac{20}{18}\)
To multiply fractions, you multiply the
numerators (top numbers) together, and the
denominators (bottom numbers) together:
\[
\frac{1 \times 20}{2 \times 18} = \frac{20}{36}
\]
✔ So, \(\frac{1}{2} \times \frac{20}{18} = \frac{20}{36}\)
---
#### 2.
Simplify the Fraction
The fraction \(\frac{20}{36}\) can be simplified by dividing both numerator and denominator by their
Greatest Common Factor (GCF).
> The GCF of 20 and 36 is
4.
So, divide both top and bottom by 4:
\[
\frac{20 \div 4}{36 \div 4} = \frac{5}{9}
\]
✔ Final simplified answer: \(\frac{5}{9}\)
---
🧠 Why This Works
- Multiplying fractions follows the rule:
\(\frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b \cdot d}\)
- Simplifying fractions means reducing them to lowest terms by dividing numerator and denominator by their
greatest common divisor (GCD) — also called GCF.
---
✔ Final Answer:
\[
\boxed{\frac{5}{9}}
\]
This is the fully simplified result of multiplying \(\frac{1}{2} \times \frac{20}{18}\).
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing fractions.
