Ex 2.1, 8 Michael finished coloring a picture in 7/12 hour . Vaibhav finished coloring the same picture in 3/4 hour. Who worked longer? By what fraction was it longer? Michael finished work in = 7/12 hour
Vaibhav finished work in = 7/4 hour
We need to find who worked longer.
i.e. we need to find greater of
7/12 & 3/4
To find which number is greater or smaller,
We make their denominators equal.
Common denominator = LCM of 4 & 12
= 2 × 2 × 3
= 4 × 3
= 12
So,
7/12
3/4 =
Thus, 9/12 > 7/12
∴ Vaibhav worked longer
We also need to find by how much
Difference in hours = 3/4 − 7/12
= 9/12 − 7/12
= ((9 − 7))/12
= 2/12
= 1/6
Vaibhav worked longer, by 𝟏/𝟔 hours

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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