add 3 5/7 + 7 1/2 what is the sum
To add 3 5/7 and 7 1/2, we need to convert both mixed numbers into improper fractions.
Converting 3 5/7 into an improper fraction:
3 is the whole number, so we multiply it by the denominator of the fraction (7) and then add the numerator (5):
3 * 7 = 21
21 + 5 = 26
So, 3 5/7 is equal to 26/7.
Converting 7 1/2 into an improper fraction:
7 is the whole number, so we multiply it by the denominator of the fraction (2) and then add the numerator (1):
7 * 2 = 14
14 + 1 = 15
So, 7 1/2 is equal to 15/2.
Now, we can add 26/7 and 15/2:
26/7 + 15/2 = (26 * 2 + 15 * 7) / (7 * 2)
52 + 105 / 14 = 157/14
Therefore, the sum of 3 5/7 and 7 1/2 is equal to 157/14.
subtrract 9 7/10 - 6 1/4 what is the diference
To subtract 9 7/10 from 6 1/4, we need to convert both mixed numbers into improper fractions.
Converting 9 7/10 into an improper fraction:
9 is the whole number, so we multiply it by the denominator of the fraction (10) and then add the numerator (7):
9 * 10 = 90
90 + 7 = 97
So, 9 7/10 is equal to 97/10.
Converting 6 1/4 into an improper fraction:
6 is the whole number, so we multiply it by the denominator of the fraction (4) and then add the numerator (1):
6 * 4 = 24
24 + 1 = 25
So, 6 1/4 is equal to 25/4.
Now, we can subtract 97/10 from 25/4:
25/4 - 97/10 = (25 * 10 - 97 * 4) / (4 * 10)
250 - 388 / 40 = -138/40
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
-138/40 = -69/20
Therefore, the difference between 9 7/10 and 6 1/4 is equal to -69/20.
proper form
To express the difference between 9 7/10 and 6 1/4 in simplest form, we simplify the fraction -69/20.
Since the numerator (-69) and denominator (20) do not have a common factor other than 1, the simplified form is -69/20.
Therefore, the difference between 9 7/10 and 6 1/4, in simplest form, is -69/20.