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प्रश्न
Compare the following number.
`(-7)/11, (-3)/4`
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उत्तर
Let us first compare `-7/11 and -3/4`.
Here, the denominators of the given numbers are not the same.
LCM of 11 and 4 = 44
\[-\frac7{11}=-\frac{7\times4}{11\times4}=-\frac{28}{44}\]
\[-\frac34=-\frac{3\times11}{4\times11}=-\frac{33}{44}\]
Since 28 < 33
∴ \[\frac{28}{44}<\frac{33}{44}\]
∴ \[-\frac{28}{44}>-\frac{33}{44}\]
∴ \[-\frac7{11}>-\frac34\]
संबंधित प्रश्न
Compare the following number.
`15/12, 7/16`
Compare the rational numbers `(-7)/9 and 4/5`.
`3/5 and 6/10` are rational numbers. Compare them.
`(-4)/5` lies to the left of `(-3)/4`
The sum of the digits of the denominator in the simplest form of `112/528` is _________
Which is greater number in the following?
Fill in the box with the correct symbol >, < or =.
`7/(-8) square 8/9`
Fill in the box with the correct symbol >, < or =.
`8/8 square 2/2`
Given that `p/q` and `r/s` are two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers we say that:
`square/square < square/square`, if p × s < r × q
Chhaya simplified a rational number in this manner `(-25)/(-30) = (-5)/6`. What error did the student make?
