Ratio of 1.5 kg to 600 g Step by Step

Step by step

The question

Question: write the ratio of 1.5 kilograms to 600 grams in its simplest form.

1.5 kg : 600 g

Careful!

The units are not the same: kilograms and grams.

1.5 to 600 would compare different things.

Careful: not 1.5 : 600 ✗

1 Same units

A ratio only compares amounts in the same unit.

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

1 kilogram is 1000 grams.

1 kg = 1000 g

So 1.5 kilograms is 1.5 times 1000: 1500 grams.

= 1.5 kg = 1.5 × 1000 g = 1500 g

2 Drop the units

Now the ratio is 1500 grams to 600 grams.

= 1500 g : 600 g

Both are in grams.

The same units cancel, so we cross them out.

That leaves 1500 to 600.

= 1500 : 600

3 Simplify

1500 and 600 can both be divided by 300.

We divide both parts by 300.

The ratio stays the same.

= 1500 ÷ 300 : 600 ÷ 300

1500 divided by 300 is 5.

600 divided by 300 is 2.

So the ratio is 5 to 2.

= 5 : 2

4 Check

Let's check: times each part by 300.

We get 1500 grams and 600 grams again.

5 × 300 = 1500 g, 2 × 300 = 600 g

And 1500 grams divided by 1000 is 1.5 kilograms, as in the question.

So the answer is right!

1500 g = 1500 ÷ 1000 = 1.5 kg

Let's look back.

First: same units.

Then: drop the units.

Then: simplify.

Last: check.

Answer