6th grade Q1

Here’s how you multiply mixed numbers:

Follow these 3 steps:

1. Change each mixed number into an improper fraction
2. Multiply the numerators and the denominators
3. Simplify the answer, and if needed, change it back to a mixed number

Example:

Let’s solve this task: $1\frac{2}{3}\times 2\frac{1}{4}$

Step 1: Change to improper fractions

To change $1\frac{2}{3}$ into an improper fraction, look at the image above to the right. First multiply the denominator by the whole number, then add the result to the numerator.

$1\frac{2}{3}=\frac{5}{3}$

For $2\frac{1}{4}$, do the same thing:

$2\frac{1}{4}=\frac{9}{4}$

Step 2: Multiply the numerators and denominators

$5\times 9=45$ (numerator)

$3\times 4=12$ (denominator)

So, $\frac{5}{3}\times \frac{9}{4}=\frac{45}{12}$

Step 3: Simplify the fraction

Next, simplify the fraction. Both 45 and 12 can be divided by 3:

$$\begin{gathered} 45÷3=15 \\ 12÷3=4 \end{gathered}$$

So, $\frac{45}{12}$ simplifies to $\frac{15}{4}$

Step 4: Change back to a mixed number

To turn $\frac{15}{4}$ into a mixed number, you divide 15 by 4. The answer is 3 with a remainder of 3. The image above tells how this turns into a mixed number.

$\frac{15}{4}=3\frac{3}{4}$

You’re Done!

$1\frac{2}{3}\times 2\frac{1}{4}=3\frac{3}{4}$