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प्रश्न
Arrange the fractions `6/7, 7/8, 4/5` and `3/4` in descending order.
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उत्तर
We have given, `6/7, 7/8, 4/5` and `3/4`.
The L.C.M. of 7, 8, 5 and 4 is 2 × 2 × 2 × 5 × 7 = 280
| 2 | 7, 8, 5, 4 |
| 2 | 7, 4, 5, 2 |
| 2 | 7, 2, 5, 1 |
| 5 | 7, 1, 5, 1 |
| 7 | 7, 1, 1, 1 |
| 1, 1, 1, 1 |
Now, `6/7 = (6 xx 40)/(7 xx 40) = 240/280`,
`7/8 = (7 xx 35)/(8 xx 35) = 245/280`,
`4/5 = (4 xx 56)/(5 xx 56) = 224/280` and `3/4 = (3 xx 70)/(4 xx 70) = 210/280`
On comparing the above, we get;
`245/280 > 240/280 > 224/280 > 210/280`
i.e., `7/8 > 6/7 > 4/5 > 3/4`
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संबंधित प्रश्न
Find an equivalent fraction with denominator 5, for the following fraction.
`6/10`
Fill in the blank using ‘>’, ‘<’ or ‘=’ :
`8/15` ______ `95/14`
Fill in the blank using ‘>’, ‘<’ or ‘=’ :
`12/75` ______ `32/200`
Neelam’s father needs `1 3/4` m of cloth for the skirt of Neelam’s new dress and `1/2` m for the scarf. How much cloth must he buy in all?
Find the equivalent fraction of `3/5` having denominator 20.
Match the equivalent fractions and write two more for each.
| (i) | `250/400` | (a) | `2/3` |
| (ii) | `180/200` | (b) | `2/5` |
| (iii) | `660/990` | (c) | `1/2` |
| (iv) | `180/360` | (d) | `5/8` |
| (v) | `220/550` | (e) | `9/10` |
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`
The following fraction represents just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.
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- `3/15`
- `8/50`
- `16/100`
- `10/60`
- `15/75`
- `12/60`
- `16/96`
- `12/75`
- `12/72`
- `3/18`
- `4/25`
According to the cross product method, for two fractions `a/b` and `c/d` to be equivalent:
Which of the following statements correctly applies the cross product rule?
