Question

Name
Fill in the blank to make the statement true.
1 3/4 + 1/6 +_____=7 1/2

Answer 1

To solve the equation 1 3/4 + 1/6 + ____ = 7 1/2, you need to find the missing number that, when added to 1 3/4 + 1/6, equals 7 1/2. By converting the fractions to have a common denominator of 12, you can find the sum of 7/4 and 1/6, subtract that from 7 1/2, and determine that the missing number is 1/3.

Step-by-step explanation:

To solve the equation 1 3/4 + 1/6 + ____ = 7 1/2, we need to find the missing number that when added to 1 3/4 + 1/6 equals 7 1/2.

To find the missing number, we can convert all the fractions to have the same denominator. The least common denominator between 4 and 6 is 12.

Converting 1 3/4 to an improper fraction gives us 7/4, and converting 1/6 to an improper fraction gives us 1/6. So, the equation becomes:

7/4 + 1/6 + ____ = 7 1/2.

Next, we find the sum of 7/4 and 1/6: 7/4 + 1/6 = 42/24 + 4/24 = 46/24.

Now, we subtract 46/24 from 7 1/2 to find the missing number: 7 1/2 - 46/24 = (54/2 - 46/24) = 27 - 46/24 = 27/1 - 46/24 = 54/2 - 46/24 = 8/24 = 1/3.

So, the missing number is 1/3, and the completed equation is: 7/4 + 1/6 + 1/3 = 7 1/2.

Answer 2

5

Step-by-step explanation:

For this question it is best to find the least common denominator (LCD) for all terms. In this case that denominator is 12.

Using the LCD you would convert all of the fractions into the following equation and solve:

1 9/12 + 2/16 + __ = 7 6/12

1 11/12 + __ = 7 6/12

___ = 7 6/12 - 1 11/12

___ = 5 7/12