find the sum of 2 1/2 and 2/5
Change the fractions to equivalent fractions with the same denominator. Then add the whole numbers and also add the numerators.
the answer is 2 and 9/10
To find the sum of 2 1/2 and 2/5, you need to convert the mixed number 2 1/2 into an improper fraction. Here's how you can do it:
Step 1: Multiply the whole number (2) by the denominator (2) and add the numerator (1). This gives you 5.
2 * 2 + 1 = 5
Step 2: Write the result from Step 1 (5) over the denominator (2). This gives you 5/2.
Now that we have both numbers in fraction form, we can add them together.
5/2 + 2/5
But to add these fractions, we need to have a common denominator. In this case, the least common multiple of 2 and 5 is 10.
So, we need to convert both fractions so that they have a denominator of 10.
For the first fraction, we can multiply both the numerator and denominator by 5:
5/2 * 5/5 = 25/10
For the second fraction, we can multiply both the numerator and denominator by 2:
2/5 * 2/2 = 4/10
Now, we can add the fractions:
25/10 + 4/10 = 29/10
Therefore, the sum of 2 1/2 and 2/5 is 29/10.