2 4/5 + 1 3/5 =
2 4/5 + 1 3/5 = 3 7/5 = 4 2/5
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To add the mixed fractions 2 4/5 and 1 3/5 together, you need to follow these steps:
Step 1: Convert the mixed fractions to improper fractions.
Convert 2 4/5 to an improper fraction:
Multiply the whole number (2) by the denominator (5) and add the numerator (4). Place the result over the original denominator (5).
2 * 5 + 4 = 14/5
Convert 1 3/5 to an improper fraction:
Multiply the whole number (1) by the denominator (5) and add the numerator (3). Place the result over the original denominator (5).
1 * 5 + 3 = 8/5
Step 2: Add the fractions.
To add the fractions together, you need to find a common denominator, which in this case is 5. Since both fractions already have a denominator of 5, you don't need to do anything.
Add the numerators while keeping the common denominator:
14/5 + 8/5 = 22/5
Step 3: Simplify the fraction (if needed).
If necessary, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing them both by it.
In this case, 22/5 is already in its simplest form.
Therefore, 2 4/5 + 1 3/5 = 22/5.