Question

equations and inqualities

Answer 1

so we want to get rid of the 2/3 that's right next to y

since we're multiplying y with 2/3

we need to do the opposite of multiplication

Answer 2

what's the opposite of multiplication

Answer 3

divide

Answer 4

good! so we have to divide by 2/3 on both sides

so for one second, imagine we don't have this fraction and instead we have a number like 2

if we have 2 and divide by 2, we're left with 1

so similarly, if we divide 2/3 by 2/3 we'll get 1 and we're left with just `y`

Answer 5

now on the left hand side, we'll be left with

\(\dfrac{1}{4} \div \dfrac{2}{3} = \)

Answer 6

Do you know how to divide fractions?

Answer 7

yes

Answer 8

Good! As a reminder

You have to know what when you're dividing fractions, it's the same thing as multiplying by the reciprocal of the second fraction

so basically:

\(\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c} = \dfrac{a \times d}{b \times c}\)

Answer 9

1 half

Answer 10

no, let's do it step by step

so we have

\(\dfrac{1}{4} \div \dfrac{2}{3} = \)

we have to take the second fraction 2/3 and flip it

what's the inverse of 2/3 ?
basically, just flip the numerator and denominator

Answer 11

8

Answer 12

3\8

Answer 13

Yes, that's your answer!