6th grade Q1

A mixed number is a combination of a whole number and a proper fraction.

For example, $4\frac{5}{7}$ means 4 whole chewing gums and $\frac{5}{7}$ of another chewing  gum.

Let’s solve this task: $4\frac{5}{7}-3\frac{1}{7}$

This is what it would look like when you remove three whole chewing gums and $\frac{1}{7}$ of another chewing gum. You're left with 1 whole and $\frac{4}{7}$ of another chewing gum.

Now let's see how it's done with the numbers!

Step 1: Subtract the whole numbers

4-3 = 1

Step 2: Subtract the fractions

Since both fractions have the same denominator, you can just subtract the numerators:

$\frac{5}{7}-\frac{1}{7}=\frac{4}{7}$

Step 3: Combine the results

Now, put together the whole number and the fraction:

$1+\frac{4}{7}=1\frac{4}{7}$

You’re done!

$4\frac{5}{7}-3\frac{1}{7}=1\frac{4}{7}$

This means you have 1 whole and $\frac{4}{7}$ of another gum left.

Summary of steps:

1. Subtract the whole numbers
2. Subtract the fractions (make sure they have the same denominator)
3. Combine the results

Important:

No regrouping is needed when the fraction being subtracted is smaller than the fraction you're subtracting from.