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Question

susie used 2/5 of a litre of water to make a squash if she wanted to make 3/7 of this amount how much water would she nee

Answer 1

This is a word problem, and not all of the words are relevant. Let's find the ones that are.

Susie used 2/5 of a liter of water to make a squash, and all we need to do is find out what 3/7 of that amount of water is. We can ignore the squash entirely. The question is: What is 3/7 of 2/5 liters?

Any time you're working with fractions, "of" means "multiply."

To multiply fractions, we multiply the numerators together and the denominators together, to find the solution's numerator and denominator.

²/₅*³/₇=?

The new numerator is 2*3, which equals 6.

The new denominator is 5*7, which equals 35.

²/₅*³/₇=⁶/₃₅

Next, we double check that ⁶/₃₅ is in simplest form. The factors of 6 are 1, 2, 3, and 6. The factors of 35 are 1, 5, 7, and 35. With no factors in common other than 1, ⁶/₃₅ can't be simplified. It is in simplest form!

³/₇ of ²/₅ liters of water is ⁶/₃₅ liters of water.