7 1/2 - 6 3/10
A. 13 4/5
B. 1 1/4
C. 1 1/5
D. 1 1/10
Its B. 1 1/4
To subtract mixed numbers, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
7 1/2 = (7 * 2 + 1) / 2 = 15/2
6 3/10 = (6 * 10 + 3) / 10 = 63/10
Step 2: Subtract the improper fractions.
15/2 - 63/10
Step 3: Find a common denominator for the fractions.
The smallest number that both 2 and 10 go into evenly is 10.
Step 4: Convert the fractions to have a common denominator.
15/2 = (15/2) * (5/5) = 75/10
63/10 = 63/10
Step 5: Subtract the fractions.
75/10 - 63/10 = (75 - 63) / 10 = 12/10
Step 6: Simplify the fraction, if necessary.
12/10 = (6 * 2) / (5 * 2) = 6/5
Therefore, the answer is C. 1 1/5.
To subtract mixed numbers, you'll first subtract the whole numbers, then subtract the fractions separately.
Let's solve the given equation step by step:
Step 1: Start by subtracting the whole numbers:
7 - 6 = 1
Step 2: Next, subtract the fractions. Make sure the fractions have a common denominator before subtracting:
1/2 - 3/10
To find a common denominator, let's multiply the two denominators: 2 x 10 = 20
Step 3: Adjust the fractions to have the common denominator of 20:
1/2 = 10/20
3/10 = 6/20
Step 4: Subtract the fractions:
10/20 - 6/20 = 4/20
Step 5: Simplify the fraction, if possible:
The fraction 4/20 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4.
4 ÷ 4 = 1
20 ÷ 4 = 5
Therefore, 4/20 simplifies to 1/5.
Step 6: Combine the whole number and the fraction:
1 whole number + 1/5 = 1 1/5
So, the answer to the equation 7 1/2 - 6 3/10 is C. 1 1/5.
1 / 2 = 5 • 1 / 5 • 2 = 5 / 10
7 1 / 2 = 7 + 1 / 2 = 7 + 5 / 10
6 3/10 = 6 + 3 / 10
7 1/2 - 6 3/10 =
7 + 5 / 10 - ( 6 + 3 / 10 ) =
7 + 5 / 10 - 6 - 3 / 10 =
7 - 6 + 5 / 10 - 3 / 10 =
1 + 2 / 10 = 1 + 2 • 1 / 2 • 5 =
1 + 1 / 5 = 1 1/5
Answer C