Mixed Numbers to Fractions: Converting 1 2/5 + 3 1/5
In this article, we will learn how to convert mixed numbers to fractions and simplify an expression involving addition. Specifically, we will focus on converting 1 2/5 + 3 1/5 to a single fraction.
Converting Mixed Numbers to Fractions
A mixed number is a combination of a whole number and a proper fraction. To convert a mixed number to a fraction, we need to follow these steps:
- Multiply the whole number part by the denominator (the number of parts the whole is divided into).
- Add the numerator (the top number) of the fraction part to the product obtained in step 1.
- Keep the same denominator.
Let's apply these steps to convert 1 2/5 and 3 1/5 to fractions.
Converting 1 2/5 to a Fraction
- Multiply the whole number part (1) by the denominator (5): 1 × 5 = 5
- Add the numerator (2) of the fraction part to the product: 5 + 2 = 7
- Keep the same denominator (5): 7/5
So, 1 2/5 is equal to 7/5.
Converting 3 1/5 to a Fraction
- Multiply the whole number part (3) by the denominator (5): 3 × 5 = 15
- Add the numerator (1) of the fraction part to the product: 15 + 1 = 16
- Keep the same denominator (5): 16/5
So, 3 1/5 is equal to 16/5.
Adding the Fractions
Now that we have converted both mixed numbers to fractions, we can add them:
7/5 + 16/5 = ?
To add fractions with the same denominator (5), we add the numerators (7 + 16) and keep the same denominator:
7 + 16 = 23 Denominator remains 5
So, 1 2/5 + 3 1/5 is equal to 23/5.
In conclusion, we have successfully converted the mixed numbers 1 2/5 and 3 1/5 to fractions and added them to get the result 23/5.
