Ratio of 2 hours to 150 minutes Step by Step

Step by step

The question

Question: write the ratio of 2 hours to 150 minutes in its simplest form.

2 hours : 150 minutes

Careful!

The units are not the same: hours and minutes.

2 to 150 would compare different things.

Careful: not 2 : 150 ✗

1 Same units

A ratio only compares amounts in the same unit.

We change to the smaller unit, minutes, so there are no fractions.

1 hour is 60 minutes.

1 hour = 60 minutes

So 2 hours is 2 times 60: 120 minutes.

= 2 hours = 2 × 60 minutes = 120 minutes

2 Drop the units

Now the ratio is 120 minutes to 150 minutes.

= 120 ~~minutes~~ : 150 ~~minutes~~

Both are in minutes.

The same units cancel, so we cross them out.

That leaves 120 to 150.

= 120 : 150

3 Simplify

120 and 150 can both be divided by 30.

We divide both parts by 30.

The ratio stays the same.

= 120 ÷ 30 : 150 ÷ 30

120 divided by 30 is 4.

150 divided by 30 is 5.

So the ratio is 4 to 5.

= 4 : 5

4 Check

Let's check: times each part by 30.

We get 120 minutes and 150 minutes again.

4 × 30 = 120 minutes, 5 × 30 = 150 minutes

And 120 minutes divided by 60 is 2 hours, as in the question.

So the answer is right!

120 minutes = 120 ÷ 60 = 2 hours

Let's look back.

First: same units.

Then: drop the units.

Then: simplify.

Last: check.

Answer