Sameera purchased 7/2 kg apples and 19/4 kg oranges what is the weight of fruits purchased by her
Answers
Answer:
8 1/4
Step-by-step explanation:
Given,
Weight of apples = 7/2 kg
Weight of oranges = 19/4 kg
Total weight = Weight of apples +
Weight of oranges
= ( 7/2 + 19/4 )
=L.C.M of 2 and 4 = 4
=( 7 × 2/2 × 2) +( 19 × 1/24 × 1 )
= ( 14/4 + 19/4) kg
= 33/4 kg
= 8 1/4 kg
Concept:
If the denominators of two fractions are the same, the fractions can be combined directly since they are considered to be similar fractions. However, if the denominators differ (these fractions are known as unlike fractions), we must make the denominators the same before adding the fractions.
We are unable to determine the numerators directly when two or more fractions with various denominators are combined together.
To add fractions with different denominators, follow these steps:
i)Verify the fractions' denominators.
ii)By determining the LCM of the denominators and rationalising them, make the denominators of the fractions the same.
iii)Adding fractional numerators while maintaining a common denominator
iv)Reduce the fraction to reach the final amount.
Given,
Weight of apples = 7/2 kg
Weight of oranges = 19/4 kg
Find:
What is the weight of fruits purchased by her
Solution:
Total weight = Weight of apples +
Weight of oranges
= ( 7/2 + 19/4 )
=L.C.M of 2 and 4 = 4
=( 7 × 2/2 × 2) +( 19 × 1/24 × 1 )
= ( 14/4 + 19/4) kg
= 33/4 kg
= 8 1/4 kg
Therefore, the weight of fruits bought by Sameera =8 1/4 kg
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