1 2/9+5 2/3?
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.
To add the mixed numbers 1 2/9 and 5 2/3, follow these steps:
Step 1: Convert both mixed numbers to improper fractions.
1 2/9 as an improper fraction is (1 * 9 + 2)/9 = 11/9.
5 2/3 as an improper fraction is (5 * 3 + 2)/3 = 17/3.
Step 2: Find a common denominator.
The common denominator for 9 and 3 is 9 * 3 = 27.
Step 3: Rewrite both fractions with the common denominator.
11/9 becomes (11 * 3)/ (9 * 3) = 33/27.
17/3 becomes (17 * 9)/ (3 * 9) = 153/27.
Step 4: Add the fractions.
33/27 + 153/27 = (33 + 153)/27 = 186/27.
Step 5: Simplify the result, if necessary.
To simplify 186/27, divide both the numerator and denominator by their greatest common divisor, which is 3.
186/27 simplifies to 62/9.
Therefore, 1 2/9 + 5 2/3 equals 62/9.
To add the fractions 1 2/9 and 5 2/3, you need to convert them to improper fractions first. Here's how you can do it:
For the fraction 1 2/9:
1 is the whole number, and 2/9 is the fraction part. To convert it to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator. Then, write the result over the denominator.
1 2/9 = (1 * 9 + 2) / 9 = 11/9
For the fraction 5 2/3:
5 is the whole number, and 2/3 is the fraction part. To convert it to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator. Then, write the result over the denominator.
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Now that both fractions are converted to improper fractions, you can add them by finding a common denominator. In this case, the lowest common multiple (LCM) of 9 and 3 is 9. Multiply the numerators of each fraction by the required factor to make their denominators 9.
11/9 + 17/3 = (11 * 1)/(9 * 1) + (17 * 3)/(3 * 3) = 11/9 + 51/9
Now that the denominators are the same, you can add the numerators.
11/9 + 51/9 = (11 + 51)/9 = 62/9
Therefore, the sum of 1 2/9 and 5 2/3 is 62/9.