Subtract and simplify to the lowest term:
7 1/9 - 4 2/3
could someone check my answer after couple of steps I got 1 26/7
I did it differently and I guess I missed a couple of steps along the way..thank you
Sorry -- I guess my finger slipped --
7 1/9 = 6 10/9
6 10/9 - 4 6/9 = 2 4/9
To subtract and simplify these mixed numbers, we can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
To do this, we multiply the whole number by the denominator and add the numerator. For example:
7 1/9 = (7 × 9 + 1) / 9 = 64/9
4 2/3 = (4 × 3 + 2) / 3 = 14/3
Step 2: Find a common denominator.
The common denominator is the least common multiple of the two denominators, which in this case is 9 and 3. The least common multiple of 9 and 3 is 9.
Step 3: Rewrite the fractions with the common denominator.
To do this, we multiply the numerator and denominator of each fraction by the same value needed to make the denominator equal to 9 in both fractions.
64/9 = (64 × 1) / (9 × 1) = 64/9
14/3 = (14 × 3) / (3 × 3) = 42/9
Step 4: Subtract the fractions.
Subtracting 42/9 from 64/9 gives us:
64/9 - 42/9 = (64 - 42) / 9 = 22/9
Step 5: Simplify the fraction.
To simplify the fraction, we look for any common factors between the numerator and denominator. Here, 22/9 cannot be simplified further because 22 and 9 do not have any common factors other than 1.
Therefore, the simplified answer is 22/9.
You need to get a common denominator which in this problem is 9.
4 2/3 = 4 6/9
7 1/9 = 8 10/9
8 10/9 - 4 6/9 = 4 4/9