Advertisements
Advertisements
प्रश्न
What should be added to \[\left( \frac{1}{2} + \frac{1}{3} + \frac{1}{5} \right)\] to get 3?
योग
Advertisements
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
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
Fill in the branks:
\[\frac{- 7}{9} + . . . = 3\]
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
\[\frac{15}{2} + \frac{9}{8} + \frac{- 11}{3} + 6 + \frac{- 7}{6}\]
Multiply:
\[- \frac{15}{11} \text{by} 7\]
Simplify each of the following and express the result as a rational number in standard form:
\[\frac{- 9}{16} \times \frac{- 64}{- 27}\]
Fill in the blanks:
The product of two positive rational numbers is always .....
State, True Or False
`7/9=(7+5)/(9+5)`
Insert a rational number between:
`(4)/(3) and (7)/(5)`
Insert a rational number between:
101 and 102
0 is a rational number.
All decimal numbers are also rational numbers.
