Rinda needs to solve the problem 1 2/9+5 2/3 . What is the sum?(1 point)
To solve the problem, Rinda needs to add the two fractions.
First, convert the mixed numbers to improper fractions:
1 2/9 = (9 * 1 + 2) / 9 = 11/9
5 2/3 = (3 * 5 + 2) / 3 = 17/3
Now, add the fractions:
11/9 + 17/3
To add fractions, find a common denominator. In this case, the common denominator is 9 * 3 = 27.
11/9 = (11 * 3) / (9 * 3) = 33/27
17/3 = (17 * 9) / (3 * 9) = 153/27
Now, add the fractions:
33/27 + 153/27 = 186/27
Simplify the fraction if possible:
186/27 = (2 * 93) / (3 * 9) = 2/3
So, the sum of the fractions is 2/3.
To solve the problem 1 2/9 + 5 2/3, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
1 2/9 = (1 * 9 + 2) / 9 = 11/9
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Step 2: Find a common denominator for the fractions.
The common denominator for 9 and 3 is 9.
Step 3: Rewrite the fractions with the common denominator.
11/9 + 17/3 = (11/9 * 3/3) + (17/3 * 9/9) = 33/27 + 153/27
Step 4: Add the fractions.
33/27 + 153/27 = (33 + 153) / 27 = 186/27
Step 5: Simplify the resulting fraction, if necessary.
186/27 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3.
186/27 = (186/3) / (27/3) = 62/9
So, the sum of 1 2/9 + 5 2/3 is 62/9.
To solve the problem 1 2/9 + 5 2/3, Rinda needs to add the two mixed numbers together. Here's how Rinda can do it:
Step 1: Convert the mixed numbers to improper fractions.
1 2/9 can be written as (9 * 1 + 2)/9 = 11/9.
5 2/3 can be written as (3 * 5 + 2)/3 = 17/3.
Step 2: Find a common denominator. In this case, the common denominator is 9 and 3, which is 27.
Step 3: Rewrite the fractions using 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 together.
33/27 + 153/27 = (33 + 153)/27 = 186/27.
Step 5: Simplify the fraction, if necessary.
The fraction 186/27 can be simplified by finding the greatest common divisor (GCD) of the numerator (186) and the denominator (27). In this case, the GCD is 3.
Dividing both the numerator and denominator by 3 gives:
186/27 = (186 ÷ 3) / (27 ÷ 3) = 62/9.
Therefore, the sum of 1 2/9 + 5 2/3 is equal to 62/9.