Akram finished colouring a picture in 7 12 hour. Ashiq finished colouring the same picture in 3 4 hour. Who worked longer? By what fraction was it longer?

Given: Time taken by Akram to colour the picture = 7 12 hour Time taken by Ashiq to colour the picture = 3 4 hour To compare two fractions, we need to make the denominators equal by taking their LCM. Here, Thus, LCM is 2 × 2 × 3 = 12 Here, to get the same number at the denominator, we need to multiply both the numerator and denominator of each fraction by a number to get the LCM at the denominator. So, 7 12 × 1 1 = 7 12 and 3 4 × 3 3 = 9 12 We know that for two fractions, if the denominators are same, than the fraction with larger numerator is greater. Therefore, 9 12 > 7 12 i.e. 3 4 > 7 12 ∴ Ashiq has taken longer time than Akram. Here is the difference in time taken by both of them = 3 4 - 7 12 = 9 12 - 7 12 = 2 12 = 1 6 . Therefore, Ashiq has taken 1 6 hour longer than Michael to colour the picture.

Represent pictorially : 2 × 2 5 = 4 5 .

Given, 2 × 2 5 We know that each of the given figure represents 2 5 part of a circle. Thus, Combining the above two shaded regions we get a shaded region that represents 4 5 part of a circle. So, we have Or, 2 5 + 2 5 = 2 × 2 5 = 4 5