Question

Find the difference:
$$2\dfrac{3}{10}=1\dfrac{7}{15}$$

Answer 1

Given
$$2\dfrac{3}{10}=1\dfrac{7}{15}$$
$$23 / 10 - 22 / 15$$
(Refer image)
LCM of 10 and 15$$= (5\times 3\times 2)=30$$
Now, $$23 / 10=(23\times 3)/(10\times 3)=69/30$$
$$22/15=(22\times 2)/(15\times 2)=44/30$$
$$23/10 - 22/15 = 69/30 - 44/30$$
$$=(69 - 44)/ 30$$
$$= 25 / 30$$
$$= 5 / 6 \, \, \, \,(multiplication \, \,by \, \,5)$$
Hence, $$2\dfrac{3}{10}-1\dfrac{7}{15}=5 / 6$$