High School

Use the area model to find the product. Then complete the equation.

[tex]\[
\frac{3}{4} \times \frac{6}{5} = \frac{18}{20}
\][/tex]

[tex]\[
\frac{3}{4} \times \frac{6}{5} = \qquad \times \qquad \times \qquad \times \qquad
\][/tex]

[tex]\[
= \qquad
\][/tex]

[tex]\[
= \qquad
\][/tex]

Answer :

To find the product of [tex]\(\frac{3}{4} \times \frac{6}{5}\)[/tex] using the area model, we can follow these steps:

1. Multiply the Numerators:
- First, multiply the numerators of the fractions: [tex]\(3 \times 6 = 18\)[/tex].

2. Multiply the Denominators:
- Next, multiply the denominators of the fractions: [tex]\(4 \times 5 = 20\)[/tex].

3. Write the Product as a Fraction:
- The product of the two fractions will be [tex]\(\frac{18}{20}\)[/tex].

4. Simplify the Fraction (if possible):
- In this case, the fraction [tex]\(\frac{18}{20}\)[/tex] can be simplified. Both the numerator and the denominator can be divided by their greatest common divisor, which is 2.
- Dividing the numerator and the denominator by 2:
- [tex]\(18 \div 2 = 9\)[/tex]
- [tex]\(20 \div 2 = 10\)[/tex]
- So, the simplified fraction is [tex]\(\frac{9}{10}\)[/tex].

Therefore, [tex]\(\frac{3}{4} \times \frac{6}{5} = \frac{9}{10}\)[/tex].

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