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Question
Insert a rational number between:
`(3)/(4) and (5)/(7)`
Sum
Solution
A rational number lying between `(3)/(4) and (5)/(7)`
= `((3)/(4) + (5)/(7))/(2)`
= `((21 + 20)/(28))/(2)`
= `((41)/(28))/(2)`
= `(41)/(56)`
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\[\frac{- 16}{9} + \frac{- 5}{12}\]
Re-arrange suitably and find the sum in each of the following:
\[\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}\]
Simplify each of the following and express the result as a rational number in standard form:
\[\frac{- 13}{9} \times \frac{27}{- 26}\]
Simplify:
\[\left( - 5 \times \frac{2}{15} \right) - \left( - 6 \times \frac{2}{9} \right)\]
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\[\left( \frac{13}{9} \times \frac{- 15}{2} \right) + \left( \frac{7}{3} \times \frac{8}{5} \right) + \left( \frac{3}{5} \times \frac{1}{2} \right)\]
Divide:
\[\frac{- 3}{4} \text{by} \frac{9}{- 16}\]
Write the following rational number in `p/q` form.
0.37
Ravi multiplied `25/8` and `16/15` to obtain `400/120`. He says that the simplest form of this product is `10/3` and Chandru says the answer in the simplest form is `3 1/3`. Who is correct? (or) Are they both correct? Explain
If `r/s` is a rational number, then s cannot be equal to zero.
