Convert 2 yards to inches Step by Step

Step by step

The question

Question: change 2 yards into inches.

2 yd = ? in

1 Find the links

There is no link straight from yards to inches.

So we go in steps.

1 yard is 3 feet.

1 yd = 3 ft

Then: 1 foot is 12 inches.

1 ft = 12 in

2 Make the unit fractions

We want feet, so feet go on top.

We have yards, so yards go at the bottom.

Top and bottom are the same amount.

So the fraction is 1, and times 1 keeps the size.

3 ft1 yd = 1

Next inches, so inches go on top.

We have feet, so feet go at the bottom.

12 in1 ft = 1

Careful!

Not upside down.

Then the yards would not cross out.

Careful: not 2 yd × 1 yd3 ft ✗

3 Multiply

We multiply 2 yards by the fractions.

2 yd = 2 yd × 3 ft1 yd × 12 in1 ft

Yards and feet on top and at the bottom cancel, like numbers.

Cross them out.

Inches are left.

What is left: 2 times 3 times 12.

= 2 × 3 × 12 in

2 times 3 times 12 is 72.

So 2 yards is 72 inches.

= 72 in

4 Check

Does it make sense?

Inches are smaller than yards.

So we need more of them.

72 is more than 2.

Yes.

in smaller than yd → more: 72 > 2

And back the other way: 72 divided by 12 divided by 3 = 2.

We get 2 yards again.

So the answer is right!

back: 72 ÷ 12 ÷ 3 = 2

Let's look back.

First: find the links.

Then: make the unit fractions.

Then: multiply.

Last: check.

Answer