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प्रश्न
Simplify:
`5/6-3/5(1/3+2/11)`
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उत्तर १
`5/6-3/5(1/3+2/11)=5/6-3/5((11+6)/33)`
= `5/6-3/5xx17/33=5/6-17/55`
= `(275-102)/330=173/330`
उत्तर २
Simplify the innermost brackets:
`1/3 + 2/11 = 11/33+6/33 = 17/33`
Multiply by `3/5`
`3/5xx17/33 = 51/165 = 17/55`
Subtract from `5/6: "Rewrite" 5/6 and 17/55` with a common denominator:
LCD of 6 and 55 is 330.
`5/6 = 275/33, 17/55 = 102/330`
Perform the subtraction:
`275/330 - 102/330 = 173/330`
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संबंधित प्रश्न
Change the following improper fraction to mixed fraction:
`-113/15`
Change the following groups of fractions to like fractions:
`1/3,2/5,3/4,1/6`
Change the following groups of fractions to like fractions:
`5/6,7/8,11/12,3/10`
Simplify:
`6 1/7xx0xx5 3/8`
Simplify:
`3/4` of `6 1/8-2/3` of `2 1/4`
Simplify:
`2/5` of `(1/7-1/12)` of `1 2/5`
Evaluate:
`8-{5 1/3-(3-2 1/2)}`
Write the fraction representing the total number of natural numbers in the collection of numbers –3, –2, –1, 0, 1, 2, 3. What fraction will it be for whole numbers? What fraction will it be for integers?
Which condition correctly defines a proper fraction?
If a fraction has a numerator of 9 and a denominator of 10, it is considered:
