Question

Multiply 4/9 x 1 4/5 x 2/5?
1) 1 32/45
2) 7/16
3) 8/25
4) 1 10/19

Answer 1

The Correct option is 3). To multiply 4/9 by 1 4/5 by 2/5, first convert the mixed number to an improper fraction, then multiply the numerators and denominators separately, and finally reduce the fraction to get the answer, 8/25.

The correct option is D).

Step-by-step explanation:

The student has asked to multiply 4/9 by 1 4/5 by 2/5. First, we need to convert the mixed number 1 4/5 into an improper fraction, which is (1×5)+4 = 5+4 = 9/5. Then, we multiply the numerators together and the denominators together:

• (4×9×2) = 72 (numerator)
• (9×5×5) = 225 (denominator)

Now we divide the numerator by the denominator: 72/225.

Reduce this fraction by finding the greatest common divisor, which is 9:

• 72 ÷ 9 = 8
• 225 ÷ 9 = 25

The reduced fraction is 8/25, which is option 3 in the list of possible answers.

Answer 2

1 4/5 needs to be converted into an improper fraction to get it in the same format as the other fractions.

Multiply the denominator by the whole number. Then add that number to the numerator. 5x1=5+4=9.

That number is placed over the denominator. 9/5 as the new fraction

Now we can start to multiply
(4/9) x (9/5) x (2/5)

A quick shortcut: the two 9s are on opposite sides. They automatically cancel each other out. (They become 1)

Then we have
(4/1) x (1/5) x (2/5)

Multiply the numerators: 4x1x2=8
Multiply the denominators: 1x5x5=25

Our answer is: 8/25