Converting Mixed Numbers to Fractions: 1 1/8 - 3/8 as a Fraction
In this article, we will explore how to convert a mixed number to a fraction, specifically focusing on the example of 1 1/8 - 3/8.
What is a Mixed Number?
A mixed number is a combination of a whole number and a fraction. It is a way to express a value that is greater than one whole unit. For example, 1 1/8 is a mixed number, where 1 is the whole number part and 1/8 is the fraction part.
Converting Mixed Numbers to Fractions
To convert a mixed number to a fraction, we need to follow a simple step-by-step process:
- Multiply the whole number part by the denominator: In this case, the whole number part is 1, and the denominator is 8. So, we multiply 1 by 8, which gives us 8.
- Add the numerator: Add the numerator (1) to the product we got in step 1. This gives us 9.
- Write the fraction: Write the result as a fraction, with the numerator (9) over the denominator (8).
Converting 1 1/8 to a Fraction
Let's apply the steps above to convert 1 1/8 to a fraction:
- Multiply the whole number part (1) by the denominator (8): 1 × 8 = 8
- Add the numerator (1) to the product: 8 + 1 = 9
- Write the fraction: 9/8
So, 1 1/8 is equal to the fraction 9/8.
Converting 3/8 to a Fraction
Now, let's convert the fraction 3/8 to a simpler form. In this case, the fraction is already in its simplest form, so we don't need to do anything. The fraction 3/8 is already a proper fraction.
Subtracting Fractions
To subtract 3/8 from 9/8, we need to follow the rules of subtracting fractions:
- Make sure the denominators are the same: In this case, both fractions have the same denominator (8), so we can proceed.
- Subtract the numerators: Subtract the numerators (9 - 3 = 6)
- Write the resulting fraction: Write the result as a fraction, with the numerator (6) over the denominator (8).
The result of subtracting 3/8 from 9/8 is 6/8, which can be simplified to 3/4.
In conclusion, 1 1/8 - 3/8 as a fraction is equal to 3/4.
