Advertisements
Advertisements
प्रश्न
What should be added to \[\left( \frac{1}{2} + \frac{1}{3} + \frac{1}{5} \right)\] to get 3?
बेरीज
उत्तर
\[\text{Let x be added .} \]
\[ \therefore x + (\frac{1}{2} + \frac{1}{3} + \frac{1}{5}) = 3\]
\[ \Rightarrow x + (\frac{15}{30} + \frac{10}{30} + \frac{6}{30}) = 3\]
\[ \Rightarrow x + (\frac{15 + 10 + 6}{30}) = 3\]
\[ \Rightarrow x + \frac{31}{30} = 3\]
\[ \Rightarrow x = \frac{3}{1} - \frac{31}{30}\]
\[ \Rightarrow x = \frac{90}{30} - \frac{31}{30}\]
\[ \Rightarrow x = \frac{90 - 31}{30}\]
\[ \Rightarrow x = \frac{59}{30}\]
\[ \therefore x + (\frac{1}{2} + \frac{1}{3} + \frac{1}{5}) = 3\]
\[ \Rightarrow x + (\frac{15}{30} + \frac{10}{30} + \frac{6}{30}) = 3\]
\[ \Rightarrow x + (\frac{15 + 10 + 6}{30}) = 3\]
\[ \Rightarrow x + \frac{31}{30} = 3\]
\[ \Rightarrow x = \frac{3}{1} - \frac{31}{30}\]
\[ \Rightarrow x = \frac{90}{30} - \frac{31}{30}\]
\[ \Rightarrow x = \frac{90 - 31}{30}\]
\[ \Rightarrow x = \frac{59}{30}\]
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Simplify:
\[\frac{- 3}{2} + \frac{5}{4} - \frac{7}{4}\]
Multiply:
\[\frac{- 6}{11} \text{by} \frac{- 55}{36}\]
Fill in the blanks:
If a is reciprocal of b, then the reciprocal of b is .....
Find the value and express as a rational number in standard form:
\[\frac{2}{5} \div \frac{26}{15}\]
Find the value and express as a rational number in standard form:
\[\frac{- 36}{125} \div \frac{- 3}{75}\]
Find any five rational numbers less than 2.
For each set of rational number, given below, verify the associative property of addition of rational number:
(ii) `(-2)/5, 4/15 and (-7)/10`
Insert a rational number between:
8 and 8.04
Arrange the following rational numbers in descending order.
`(7)/(13),(8)/(15), and (3)/(5)`
Write the rational number whose numerator and denominator are respectively as under:
(–4) × 6 and 8 ÷ 2