Math New Drill (Level 1) : Number sense and theory Three fractions multiplied by a same fraction

Three fractions 28/3, 35/6, and 77/8 are multiplied by the same fraction and each product becomes to be integer. 

Find the fraction more than 10 and the nearest to 10 among such fractions. 



Answer
72/7

Solution
GCM of 28, 35 and 77 = 7

LCM of 3, 6 and 8 = 24

The fraction is 24/7, 48/7, 72/7 which is over 10 and nearest to 10.