Advertisements
Advertisements
Question
Fill in the blank using ‘>’, ‘<’ or ‘=’ :
`18/15` ______ `1.3`
Options
>
<
=
Advertisements
Solution
`18/15 underlinebb(<) 1.3`
Explanation:
For comparing a fraction and a decimal, we will convert both of them to either into like fractions or into like decimals.
Now, `1.3 = 13/10`
LCM of 10 and 15
| 2 | 10, 15 |
| 3 | 5, 15 |
| 5 | 5, 5 |
| 1, 1 |
∴ LCM of 10 and 15 = 2 × 3 × 5 = 30
Now, converting each of the given fractions to equivalent fractions with denominator 30.
`(18 xx 2)/(15 xx 2) = 36/30` and `(13 xx 3)/(10 xx 3) = 39/30`
Clearly, `36/30 < 39/30` ...[∵ 36 < 39]
∴ `18/15 < 13`
APPEARS IN
RELATED QUESTIONS
Find an equivalent fraction with denominator 18, for the following fraction.
`1/2`
Find an equivalent fraction with denominator 18, for the following fraction.
`4/6`
Find an equivalent fraction with denominator 5 for each of the following fractions.
`6/15, 10/25, 12/30, 6/10, 21/35`
If `5/8 = 20/p`, then value of p is ______.
Fill in the blank using ‘>’, ‘<’ or ‘=’ :
`12/75` ______ `32/200`
Arrange the fractions `2/3, 3/4, 1/2` and `5/6` in ascending order.
Write the fraction and pair up the equivalent fraction from each row.
Replace ☐ in the following with the correct number:
`18/24 = ☐/4`
Find the equivalent fraction of `36/48` with denominator 4.
The following fraction represents just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.
`3/15`
