2 1/4 times 3 1/5 as a Fraction
To multiply two mixed numbers, we need to follow the steps for multiplying fractions and then simplify the result. In this case, we want to find the result of 2 1/4 times 3 1/5 as a fraction.
Step 1: Convert the Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers to improper fractions. To do this, we multiply the whole number part by the denominator and then add the numerator.
- 2 1/4 = (2 × 4) + 1 = 9/4
- 3 1/5 = (3 × 5) + 1 = 16/5
Now we have two improper fractions that we can multiply.
Step 2: Multiply the Fractions
To multiply two fractions, we multiply the numerators and multiply the denominators.
- Numerator: 9 × 16 = 144
- Denominator: 4 × 5 = 20
So, the result of multiplying the two fractions is:
144/20
Step 3: Simplify the Fraction
Finally, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 144 and 20 is 4. So, we divide both numbers by 4:
- Numerator: 144 ÷ 4 = 36
- Denominator: 20 ÷ 4 = 5
Therefore, the result of 2 1/4 times 3 1/5 as a fraction is:
36/5
There you have it!
