Converting the given fractions into decimal form, we have,8/9 = 0.8818/23 = 0.7816/21 = 0.7614/17 = 0.82From the above, 0.88 is the largest.Corresponding fraction is 8/9.
Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4
Here, we have to find the value of 7/(8/9) - (7/8)/9.(7 x 9/8) - [(7/(8 x 9)]63/8 - 7/72[(63 x 9) - 7] / 72567 - 7/72 = 560/72 = 70/9 = 7 7/9.Hence, 7/(8/9) is greater than (7/8)/9 by 7 7/9.