Find the lcd of 3/5 and 1/6. a. 5b. 6c. 11d. 302. what is the difference between 3/7 and 1/14. a. 1\2b. 4/14c. 5/14d. 9/143. if sandy's cookie recipe calls for 1/3 cup of brown sugar and she increases it by 2/9 of a cup, how much brown sugar does she use? a. 7/9 cupb. 5/9 cup c. 4/9 cupd. 1/9 cup4. what value could be added to 2/15 to make the sum greater than 1/2? a. 1/15b. 8/30c. 5/15d. 8/15 5. which set of mixed numbers has a difference less than 1? a. 1 2/9, 1 1/9b. 3 4/7, 2 1/7c. 2 4/5, 1 1/3d. 2 7/9, 1 1/3

Question 1:

We have to find the LCD of and

LCD is the least common denominator is the lowest common multiple of the denominators of a set of fractions.

Here the denominators are 5 and 6.

So, we will find the LCM of 5 and 6

5 =

6 =

LCM of 5 and 6 =

= 30

Therefore, the LCD of these numbers is 30.

Question 2:

We have to find the difference between    and  .

Difference =

LCM of 7 and 14 is 14

Therefore, difference =

=

Question 3:

Amount of brown sugar used by Sandy =

Amount of sugar increased by Sandy =

Total amount of Sugar used by Sandy =

LCM of 3 and 9 is 9.

Total amount of Sugar used =

= cup

Question 4:

Let the number which should be added to to make the sum greater than be 'x'

So,

LCM of 2 and 15 is 30.

So, the number is

Question 5:

We have to identify the set of mixed numbers has a difference less than 1.

Set 1: and

Difference =

=

=

This set has difference less than 1.

Set 2:

and

Difference =

=

=

This set does'not have difference less than 1.

Set 3:

and

Difference =

=

=

=

This set does'not have difference less than 1.

Set 4:

and

Difference =

=

=

This set does'not have difference less than 1.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.