Advertisements
Advertisements
Question
Divide the sum of \[\frac{65}{12} \text{and}\ \frac{12}{7}\] by their difference.
Advertisements
Solution
\[(\frac{65}{12} + \frac{12}{7}) \div (\frac{65}{12} - \frac{12}{7})\]
\[ = \frac{65 \times 7 + 12 \times 12}{84} \div \frac{65 \times 7 - 12 \times 12}{84}\]
\[ = \frac{455 + 144}{84} \div \frac{455 - 144}{84}\]
\[ = \frac{599}{84} \div \frac{311}{84}\]
\[ = \frac{599}{84} \times \frac{84}{311}\]
\[ = \frac{599}{311}\]
RELATED QUESTIONS
The sum of two numbers is \[\frac{- 1}{3} .\] If one of the numbers is \[\frac{- 12}{3},\] find the other.
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]\[\frac{- 11}{2} + \frac{7}{6} + \frac{- 5}{8}\]
Fill in the blanks:
The product of two negative rational numbers is always .....
Fill in the blanks:
Reciprocal of\[\frac{1}{a}, a \neq 0\]
Divide:
Find two rational numbers between\[\frac{1}{5} \text{and} \frac{1}{2} .\]
If `p/q` is a rational number, then p cannot be equal to zero.
0 is whole number but it is not a rational number.
The table shows the portion of some common materials that are recycled.
| Material | Recycled |
| Paper | `5/11` |
| Aluminium cans | `5/8` |
| Glass | `2/5` |
| Scrap | `3/4` |
Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?
Write the following numbers in the form `p/q`, where p and q are integers:
Three and half
