What is 1 2/3(3/4•1/2)?

1
by dena

2015-09-16T08:18:47+08:00

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Do do 3/4 x 1/2 , we should do it using cross-product.

So 3/4 x 1/2 = 3(1) and 4(2)

So the answer should be, 3 x 1 = 3 and 4 x 2 = 8.
So the answer for 3/4 x 1/2 = 3/8

Next, we should multiply 1 2/3 by 3/8
This is a multiplication problem, so we need to multiply the numerators and denominators of the fractions to get the product.
It's difficult to perform arithmetic on mixed numbers, so we want to convert them to improper fractions. Use this formula for the conversion:

Wn x Dn + Nm = New Numerator

Wherein
Wn = Whole Number
Dn = Denominator
Nm = Numerator

1 x 3 + 2 = 5

Rewriting the fraction, we will get 5/3

Then we can multiply 5/3 by 3/8 using cross-product-multiplication too.

5/3 x 3/8 = 5(3) and 3(8)

So therefore, the answer is 15/24.

BUT it is not in lowest term.

15 / 3 = 5
24 / 3 = 8

Rewriting, we got  for the answer...

^_^