Which is the sum of 2 1/5 +1 3/5
?(1 point)
Responses
4 4/5
3 3/25
3/5
3 4/5
The sum of 2 1/5 and 1 3/5 is 3 4/5.
To find the sum of 2 1/5 + 1 3/5, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
2 1/5 = 11/5
1 3/5 = 8/5
Step 2: Add the fractions.
11/5 + 8/5 = 19/5
Step 3: Simplify the fraction, if necessary.
19/5 is already in simplest form.
Step 4: Convert the improper fraction back to a mixed number, if desired.
19/5 = 3 4/5
Therefore, the sum of 2 1/5 + 1 3/5 is 3 4/5.
To find the sum of 2 1/5 and 1 3/5, we should first convert the mixed numbers to improper fractions.
To convert 2 1/5 to an improper fraction:
Multiply the whole number (2) by the denominator (5), then add the numerator (1). The result is the new numerator.
The new fraction has the same denominator as before.
So, 2 1/5 becomes (2 * 5 + 1)/5 = 11/5.
To convert 1 3/5 to an improper fraction:
Multiply the whole number (1) by the denominator (5), then add the numerator (3). The result is the new numerator.
The new fraction has the same denominator as before.
So, 1 3/5 becomes (1 * 5 + 3)/5 = 8/5.
Now that our two fractions are in the same format, we can add them together:
11/5 + 8/5 = (11 + 8)/5 = 19/5.
So, the sum of 2 1/5 and 1 3/5 is 19/5. However, this is an improper fraction, and it can be expressed as a mixed number as well.
To convert the improper fraction 19/5 to a mixed number:
Divide the numerator (19) by the denominator (5).
The quotient is the whole number part of the mixed number, and the remainder (if any) becomes the new numerator.
So, 19/5 becomes 3 with a remainder of 4.
Therefore, the sum of 2 1/5 and 1 3/5 is 3 4/5.