Steply

Calculate 2 1/2 × 4

Step by step, with the reason for every step · Fractions · Foundations

Step by step

The question

Question: work out 2 and 1/2 × 4.

212 × 4

1 Make one fraction

2 and 1/2 is a mixed number.

Each whole one is 2/2.

So we do 2 times 2, plus 1.

The bottom stays 2.

= 2 × 2 + 12 × 4

2 times 2 plus 1 is 5.

So it is 5/2.

= 52 × 4

2 Cancel first

Before we multiply, we make the numbers smaller.

4 on top and 2 at the bottom both divide by 2.

A top and a bottom divided by the same number: the answer stays the same.

4 and 2: ÷ 2 → 2 and 1

So we multiply smaller numbers.

= 51 × 21

5 times 2 is 10.

= 10

So the answer is 10.

Let's look back.

First: make one fraction.

Last: cancel first.

Answer
= 10

Your turn

Try this one yourself, then check:

212 × 6
Show the answer
15

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