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Calculate 45 liters in 6 minutes

Step by step, with the reason for every step · Ratios, unit rates, compare deals · Foundations

Step by step

The question

Question: 45 liters in 6 minutes.

How many liters in 1 minute?

45 liters in 6 minutes

A unit rate tells us how much for just 1.

Here: liters for 1 minute.

unit rate = how much for 1

1 Write it as a fraction

We write it as a fraction.

The liters go on top.

The minutes go on the bottom.

= 45 liters6 minutes

2 Divide to get 1 at the bottom

We want 1 minute on the bottom.

6 divided by 6 is 1.

We divide the top by 6 too, so the rate stays the same.

= 45 liters ÷ 66 minutes ÷ 6

45 divided by 6 is 7.5.

So it is 7.5 liters for 1 minute.

= 7.5 liters1 minute

Per means for each.

So the unit rate is 7.5 liters per minute.

= 7.5 liters per minute

3 Check

Let's check: 6 minutes at 7.5 liters per minute.

6 times 7.5 is 45.

That is 45 liters, so it is right!

6 × 7.5 liters = 45 liters

Let's look back.

First: write it as a fraction.

Then: divide to get 1 at the bottom.

Last: check.

Answer
= 7.5 liters per minute

Your turn

Try this one yourself, then check:

50 liters in 4 minutes
Show the answer
12.5 liters per minute

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