Question

Lea used the steps to multiply two fractions. Her work is shown here and is almost complete

1. Multiply the numerators.

3
9
×
2
5
=
6


2. Multiply the denominators.

3
9
×
2
5
=
6
45

3. Write the answer in simplest form.

3
9
×
2
5
=
6 ÷ 3
45 ÷ 3
= ?

Use the student’s work to complete the problem. What is the product of StartFraction 3 Over 9 EndFraction and Two-fifths?
StartFraction 2 Over 45 EndFraction
StartFraction 2 Over 15 EndFraction
StartFraction 3 Over 10 EndFraction
StartFraction 6 Over 15 EndFraction

Answer 1

Option 2: StartFraction 2 Over 15 EndFraction

Explanation:

3/9 × 2/5

1/3 × 2/5

2/15

Answer 2

As what you described, you have done quite well.

Until last step, there would need a simplification of 6/45.

`(6)/(45) = (2*3)/(15*3) = (2)/(15)`

=> Option B is correct.

Hope it helps!

:)