Question
Find the difference:
$\frac{5}{6}-\frac{4}{9}$
$\frac{5}{6}-\frac{4}{9}$
✓
Answer
$\begin{array}{c|c}3&6,9\\\hline2&2,3\\\hline3&1,3\\\hline&1,1\end{array}$L.C.M of 6 and 9 = (3 × 2 × 3) = 18
Now, we have:
$\frac{5}{6}=\frac{5\times3}{6\times3}=\frac{15}{18}$
$\frac{4}{9}=\frac{4\times2}{9\times2}=\frac{8}{18}$
Therefore,
$\frac{5}{6}-\frac{4}{9}$
$=\frac{15}{18}-\frac{8}{18}$
$=\frac{(15-8)}{18}$
$=\frac{7}{18}$
Now, we have:
$\frac{5}{6}=\frac{5\times3}{6\times3}=\frac{15}{18}$
$\frac{4}{9}=\frac{4\times2}{9\times2}=\frac{8}{18}$
Therefore,
$\frac{5}{6}-\frac{4}{9}$
$=\frac{15}{18}-\frac{8}{18}$
$=\frac{(15-8)}{18}$
$=\frac{7}{18}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
One out of two numbers is thrice the other. If their sum is 124, find the numbers.
Shikha runs around a square of side 75m. Priya runs around a rectangle with length 60m and breadth 45m. Who covers the smaller distance?
The cost price and selling price are given in the following table. Find out whether there was a profit or a loss and how much it was.
| Ex. | Cost price (in Rs) | Selling price (in Rs) | Profit or Loss | How much? |
| i. | 4500 | 5000 | ||
| ii. | 4100 | 4090 | ||
| iii. | 700 | 799 | ||
| iv. | 1000 | 920 |
Find the greatest number which divides 615 and 963, leaving the remainder 6 in each case.
Three pieces of timber, 42-m, 49-m and 63-m long, have to be devided into planks of the same length. What is the greatest possible length of each plank?
The product of two numbers is 504347. If one of the numbers is 317, find the other.
Give the prime factorization of the following number:
13915
13915
Divide, and find out the quotient and remainder. Check your answer.
36195 ÷ 153
36195 ÷ 153
Ruby bought a watermelon weighing 5kg 200g. Out of this she gave 2kg 750g to her neighbour. What is the weight of the watermelon left with Ruby?
Complete the following magic square by supplying the missing numbers: