Converting Mixed Numbers to Fractions: 3 1/4 x 1 3/5
When dealing with mixed numbers, it's essential to understand how to convert them to fractions. In this article, we'll explore how to convert 3 1/4 and 1 3/5 to fractions and then multiply them together.
Converting 3 1/4 to a Fraction
To convert 3 1/4 to a fraction, we need to follow these steps:
- Multiply the whole number part (3) by the denominator (4): 3 × 4 = 12
- Add the numerator (1) to the product: 12 + 1 = 13
- Write the result as a fraction: 13/4
So, 3 1/4 as a fraction is 13/4.
Converting 1 3/5 to a Fraction
To convert 1 3/5 to a fraction, we follow the same steps:
- Multiply the whole number part (1) by the denominator (5): 1 × 5 = 5
- Add the numerator (3) to the product: 5 + 3 = 8
- Write the result as a fraction: 8/5
So, 1 3/5 as a fraction is 8/5.
Multiplying the Fractions
Now that we have converted both mixed numbers to fractions, we can multiply them together:
13/4 × 8/5
To multiply fractions, we multiply the numerators (13 and 8) and denominators (4 and 5) separately:
- Numerators: 13 × 8 = 104
- Denominators: 4 × 5 = 20
The result is a fraction: 104/20
Simplifying the Fraction
We can simplify the fraction 104/20 by dividing both the numerator and denominator by their greatest common divisor, which is 4:
- Numerator: 104 ÷ 4 = 26
- Denominator: 20 ÷ 4 = 5
The simplified result is 26/5.
In conclusion, 3 1/4 x 1 3/5 as a fraction is equal to 26/5.
