Question

Anitha bought 3¼kg of rice and 2¹/5 kg of sugar.find the total weight of rice and sugar​

Answer 1

Weight of rice = 3¼kg

= 13/4 kg

Weight of sugar = 2¹/5 kg

= 11/5 kg

Total weight = 13/4 + 11/5

Lcm of 4, 5 = 20

13/4 × 5/5 = 65/20

11/5 × 4/4 = 44/20

= 65/20 + 44/20

= 65 + 44

20

= 109/20

= 5 9/20 kgs

Answer 2

Solution,

Amount of rice bought = 3¼kg

Amount of sugar bought = 2¹/5 kg

Total amount of rice and sugar bought = Weight of rice bought + weight of sugar bought

= 3¼kg + 2¹/5 kg

[In order to add two mixed fractions, we need to convert them to improper fractions.]

$\sf{3\dfrac{1}{4}=\dfrac{13}{4}}$

$\sf{2\dfrac{1}{5}=\dfrac{11}{5}}$

[As it is not possible to add two unlike fractions, we need to equivalise the denominators by multiplying the denominators with the LCM]

LCM of 4 and 5 = 20

$\sf{\dfrac{13}{4}\times\dfrac{5}{5}=\dfrac{65}{20}}$

$\sf{\dfrac{11}{5}\times\dfrac{4}{4}=\dfrac{44}{20}}$

Therefore,

Total weight of rice and sugar bought by Anita =

= $\sf{\dfrac{65}{20}+\dfrac{44}{20}}$

= $\sf{\dfrac{109}{20}}$

= $\sf{5\dfrac{9}{20}$

Therefore,

Anita bought a total weight of $\sf{5\dfrac{9}{20}$ of sugar and rice.