6th grade Q1

To solve problems involving multiplication with addition of mixed fractions, you can break it down into clear steps.

Let’s solve the following problem:

Remember to follow the order of operations: Multiply first, then add. Now let's go to step 1.

Step 1: Convert mixed fractions to improper fractions

Before multiplying and adding, convert the mixed fractions into improper fractions. This means turning the whole number and fraction into a single fraction.

Recall how it's done:

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

For $2\frac{1}{3}:$

For $1\frac{1}{2}$:

For $3\frac{1}{4}$​:

Step 2: Multiply the first two fractions

You don't need a common denominator when you multiply fractions.

Step 3: Simplify the result (if possible)

$\frac{21}{6}$​ can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 3:

Step 4: Add the remaining fraction

Now add $\frac{7}{2}\text{ and }\frac{13}{4}.$ To add fractions, you need a common denominator. The least common denominator of 2 and 4 is 4.

Convert $\frac{7}{2}$​ to a fraction with a denominator of 4:

Now, you can add $\frac{14}{4}\text{ and }\frac{13}{4}$​:

Step 5: Convert back to a mixed fraction (if needed)

27 divided by 4 equals 6 with a remainder of 3. Therefore

Final Answer