11 5/12 - 3 7/15 =_
A 8 2/3
B 8 57/60
C 7 57/60
D 7 2/60
11 5/12 - 3 7/15 can be rewritten as 11 5/12 - 3 14/30.
First, let's convert the mixed numbers to improper fractions:
11 5/12 = (12*11 + 5)/12 = 137/12
3 14/30 = (30*3 + 14)/30 = 104/30
Now, let's subtract the fractions:
137/12 - 104/30
To subtract fractions, we need to find a common denominator. In this case, the common denominator is 12*30 = 360.
Multiplying the numerator and denominator of the first fraction (137/12) by 30, we get:
(137/12) * (30/30) = 4110/360
Multiplying the numerator and denominator of the second fraction (104/30) by 12, we get:
(104/30) * (12/12) = 1248/360
Now, we can subtract the fractions:
4110/360 - 1248/360 = (4110 - 1248)/360 = 2862/360 = 7 54/360
Simplifying the fraction, we get:
7 54/360 = 7 3/5 = 7 57/60
The answer is C) 7 57/60.
Can you summarize how you got C
Sure!
To solve the expression 11 5/12 - 3 7/15, we first converted the mixed numbers to improper fractions:
11 5/12 becomes 137/12
3 7/15 becomes 52/15
Then, we found a common denominator for the fractions, which was 12*15 = 180.
We multiplied the numerator and denominator of the first fraction (137/12) by 15 to get:
(137/12) * (15/15) = 2055/180
We multiplied the numerator and denominator of the second fraction (52/15) by 12 to get:
(52/15) * (12/12) = 624/180
Next, we subtracted the fractions:
2055/180 - 624/180 = (2055 - 624)/180 = 1431/180
Finally, we simplified the fraction to its mixed number form:
1431/180 = 7 147/180 = 7 57/60
Therefore, the simplified answer is C) 7 57/60.
Can you summarize it in the 5th grade way
Sure!
To solve the expression 11 5/12 - 3 7/15, we first converted the mixed numbers to improper fractions.
11 5/12 means we have 11 wholes and 5 parts out of 12. So we can write it as 137/12.
3 7/15 means we have 3 wholes and 7 parts out of 15. So we can write it as 52/15.
Next, we found a common denominator for the fractions, which was 180.
We subtracted the fractions by subtracting the numerators (the top numbers) and keeping the same denominator.
137/12 - 52/15 = 1431/180.
Finally, we simplified the fraction.
1431/180 can be simplified to 7 57/60.
So, the answer is 7 57/60.