Subtract 9 7/10−6 1/4
. What is the difference?(1 point)
Responses
15 19/20
2 9/20
3 1/2
3 9/20
To subtract 9 7/10 from 6 1/4, we need to first find a common denominator.
The common denominator for 10 and 4 is 20.
Next, we convert 9 7/10 and 6 1/4 to improper fractions.
9 7/10 = (10 * 9 + 7)/10 = 97/10
6 1/4 = (4 * 6 + 1)/4 = 25/4
Now, we can subtract the fractions:
97/10 - 25/4 = (97/10) * (2/2) - (25/4) * (5/5)
= (194/20) - (125/20)
= (194 - 125)/20
= 69/20
Converting 69/20 back to a mixed number, we get 3 9/20.
Therefore, the difference is 3 9/20.
To subtract 9 7/10 from 6 1/4, we need to find a common denominator first.
The common denominator for 10 and 4 is 20.
Now let's convert both fractions to have the same denominator:
9 7/10 = (9 * 10 + 7)/10 = 97/10
6 1/4 = (6 * 4 + 1)/4 = 25/4
So, the subtraction becomes:
25/4 - 97/10
To subtract fractions, we need to have the same denominator:
25/4 - 97/10 = (25 * 10)/(4 * 10) - (97 * 4)/(10 * 4)
= 250/40 - 388/40
Now we can subtract:
= (250 - 388)/40
= -138/40
Simplifying this fraction, we get:
= -69/20
The difference is -69/20, which is approximately equal to -3 9/20.
Therefore, the correct answer is 3 9/20.
To subtract the given numbers, 9 7/10 and 6 1/4, follow these steps:
Step 1: Convert the mixed numbers to improper fractions:
9 7/10 = (9 * 10 + 7)/10 = 97/10
6 1/4 = (6 * 4 + 1)/4 = 25/4
Step 2: Find a common denominator (LCD) for the fractions. In this case, the least common multiple (LCM) of 10 and 4 is 20.
Step 3: Adjust the fractions to have the common denominator of 20:
97/10 = (97/10) * (2/2) = 194/20
25/4 = (25/4) * (5/5) = 125/20
Step 4: Subtract the fractions:
194/20 - 125/20 = (194 - 125)/20 = 69/20
Step 5: Simplify the fraction, if necessary:
69/20 = 3 9/20
Therefore, the difference of 9 7/10 - 6 1/4 is 3 9/20.