Question

Name two fractions that are closer to 1 than 1/2. Then name two fractions that are closer to 1 than to 0 or 1 and two other fractions that are closer to 0 than to 1/2. Find two of your fractions that have a sum of about 1 1/2.

Answer 1

1)

Name two fractions that are closer to 1 than 1/2?

We are asked to find two fractions that are closer to 1 than 1/2.

We know that the equivalent fraction to 1/2 is 5/10

and 1 can be written as 10/10.

Hence,

the fraction between 5/10 and 10/10 are:

6/10, 7/10, 8/10, 9/10

The fractions that are close to 1( i.e. 10/10) than to 1/2( i.e. 5/10) are:

8/10 and 9/10.

2)

Name two fractions that are closer to 1 than to 0?

We know that the equivalent fraction to 1 is 5/5.

also to 0 is 0/5

The fractions that lie between 0(i.e. 0/5) and 1( i.e. 5/5) are:

1/5, 2/5, 3/5 , 4/5

Hence the fractions closer to 1 than to 0 are:

3/5 and 4/5.

3)

Name two other fractions that are closer to 0 than to 1/2?

We know that the equivalent fraction to 0 is 0/10

and to 1/2 is 5/10

The fractions that lie between 0(i.e. 0/10) and 1/2(i.e. 5/10) are:

1/10, 2/10 , 3/10 , 4/10

Hence the fraction closer to 0 than to 1/2 are:

1/10 , 2/10.

4)

Find two of your fractions that have a sum of about 1 1/2?

We know that 1 1/2 can also be written as: 3/2

The two fractions such that they sum upto 3/2 are:

1/2 and 2/2 i.e.

`(1)/(2)+(2)/(2)=(3)/(2)`

Hence the two fractions are:

1/2 and 2/2