Converting Mixed Numbers to Fractions: 5 1/8 - 1/3 as a Fraction
In mathematics, converting mixed numbers to fractions can be a useful skill to have. In this article, we will explore how to convert the mixed number 5 1/8 - 1/3 to a fraction.
What is a Mixed Number?
A mixed number is a combination of a whole number and a fraction. It is written in the form of a b/c, where a is the whole number part and b/c is the fraction part.
Converting 5 1/8 to a Fraction
To convert the mixed number 5 1/8 to a fraction, we need to convert the whole number part to a fraction and then add the fraction part.
The whole number part is 5, which can be written as a fraction by dividing by 1: 5/1.
The fraction part is 1/8.
To add the two fractions, we need to find the least common multiple (LCM) of the denominators, which is 8. Then, we can add the numerators and keep the same denominator:
(5/1) + (1/8) = (40/8) + (1/8) = 41/8
So, the mixed number 5 1/8 is equal to the fraction 41/8.
Converting 1/3 to a Fraction
The fraction 1/3 is already in its simplest form, so we don't need to do anything to it.
Subtracting the Fractions
Now that we have converted both mixed numbers to fractions, we can subtract them:
41/8 - 1/3
To subtract fractions, we need to find the least common multiple (LCM) of the denominators, which is 24. Then, we can subtract the numerators and keep the same denominator:
(41/8) - (1/3) = (123/24) - (8/24) = 115/24
So, the result of subtracting 1/3 from 5 1/8 is 115/24.
Conclusion
In conclusion, we have successfully converted the mixed number 5 1/8 - 1/3 to a fraction, which is 115/24. This skill is useful in a variety of mathematical applications, and with practice, you can become proficient in converting mixed numbers to fractions.
