1 2/9+5 2/3?

Answer 1

To add the fractions 1 2/9 and 5 2/3, we first need to convert them to improper fractions.

To convert 1 2/9 to an improper fraction, we multiply the whole number (1) by the denominator of the fraction (9) and add the numerator (2). This gives us 11/9.

To convert 5 2/3 to an improper fraction, we multiply the whole number (5) by the denominator of the fraction (3) and add the numerator (2). This gives us 17/3.

Now that we have both fractions as improper fractions, we can add them together.

11/9 + 17/3

To add these fractions, we need to find a common denominator. The least common multiple of 9 and 3 is 9, so we will use that as the common denominator.

To get the denominators to be the same, we need to multiply the numerator and denominator of the first fraction (11/9) by 3, and we need to multiply the numerator and denominator of the second fraction (17/3) by 9.

This gives us:

(11/9) * (3/3) + (17/3) * (9/9)

(33/27) + (153/27)

Now we can add the numerators:

33 + 153 = 186

So the sum of 1 2/9 and 5 2/3 is 186/27.

However, we can simplify this fraction further. Both the numerator (186) and the denominator (27) are divisible by 3, so we can divide both by 3 to simplify:

186/27 = (186 ÷ 3) / (27 ÷ 3) = 62/9

Therefore, the sum of 1 2/9 and 5 2/3 is 62/9.