Converting Mixed Numbers to Fractions and Performing Arithmetic Operations
In this article, we will explore how to convert mixed numbers to fractions and perform arithmetic operations on them. Specifically, we will look at the example of 1 2/5 plus 2 3/10.
Converting Mixed Numbers to Fractions
A mixed number is a combination of a whole number and a fraction. To convert a mixed number to a fraction, we need to follow these steps:
Step 1: Multiply the whole number part by the denominator
Step 2: Add the numerator of the fraction to the product
Step 3: Write the result as a fraction with the same denominator
Let's apply these steps to our example:
Converting 1 2/5 to a Fraction
Step 1: Multiply the whole number part by the denominator
1 × 5 = 5
Step 2: Add the numerator of the fraction to the product
5 + 2 = 7
Step 3: Write the result as a fraction with the same denominator
1 2/5 = 7/5
Converting 2 3/10 to a Fraction
Step 1: Multiply the whole number part by the denominator
2 × 10 = 20
Step 2: Add the numerator of the fraction to the product
20 + 3 = 23
Step 3: Write the result as a fraction with the same denominator
2 3/10 = 23/10
Adding 7/5 and 23/10
To add these two fractions, we need to find the least common multiple (LCM) of 5 and 10, which is 10. We can then convert both fractions to have a denominator of 10:
7/5 = 14/10 23/10 = 23/10
Now we can add the two fractions:
14/10 + 23/10 = 37/10
Therefore, 1 2/5 plus 2 3/10 is equal to 37/10.
