6th grade Q1

To solve problems that involve multiplication and subtraction of fractions, you need to follow a step-by-step process.

Let’s say you want to solve this problem:

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

Step 1: Multiply the fractions

First, multiply the fractions $\frac{3}{4}\text{ and }\frac{2}{5}$​. When multiplying fractions, you multiply the numerators together and the denominators together. No need for a common denominator here!

$\frac{6}{20}$ can be simplified by dividing the nominator and denominator by 3:

After multiplying, you are left with this expression:

Step 2: Find a common denominator for subtraction

Now subtract $\frac{1}{6}\text{ from }\frac{3}{10}$. To do this, you need to find a common denominator.

The least common denominator of 10 and 6 is 30. So, convert both fractions to have this denominator.

For $\frac{3}{10}$​, multiply both the numerator and denominator by 3 to make the denominator 30:

For $\frac{1}{6}$​, multiply both the numerator and denominator by 5 to get 30:

Step 3: Subtract the fractions

Now, subtract:

$\frac{4}{30}$ can be simplified by dividing the numerator and the denominator by 2:

Final Answer: