Let the worth of total property be Rs.XWe have to find 3/5 of X.Given that, 5/6 th of the property = Rs.976500i.e., 5/6 x X = 976500X = 976500 x 6/5And, 3/5 of X = 3/5 x 976500 x 6/5 = 18 x 39060 = 703080Hence the answer is Rs. 703080

Given expression is, 83.04 x 2.01 x 2.1The multiplication value without decimal point = 8304 x 201 x 2 = 3338208Sum of the number of decimal places in the given numbers = 2 + 2 + 1 = 5Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 33.38208.

Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.

Let the denominator of the required fraction be X.Given that, the numerator of a fraction is 3 less than its denominator; then its numerator becomes X-3.Then the required fraction (X-3)/X ...(1)If we add 10 to numerator(X-3),original fraction (X-3)/X is increased by 1 3/7 (i.e., 10/7).i.e., (X-3)/X + 10/7 = (X-3+10)/X(X-3)/X + 10/7 = (X+7)/X(X+7)/X - (X-3)/X = 10/710/X = 10/7X = 7.Therefore, X-3 / X = 4/7.Hence the required fraction is 4/7.

Converting the given fractions into decimal numbers, we have1/4 = 0.252/7 = 0.283/4 = 0.754/7 = 0.575/7 = 0.716/5 = 1.2So, 0.25 < 0.28 < 0.57 < 0.71 < 0.75 < 1.2Corresponding fraction is 1/4 < 2/7 < 4/7 < 5/7 < 3/4 < 6/5

Let the required fraction be p/q.Given that, sum of the numerator and denominator of a fraction is 13;i.e., p + q = 13 ...(1)Adding 3 to numerator and 9 to denominator, we have,(P+3)/(q+9) = 2/33(P+3) = 2(q+9)3p+9 = 2q+183p-2q = 9 ...(2)Multiply eqn (1)by 2, 2p + 2q = 26...(3)Adding (2) and (3),5p = 35p = 7.Putting p value in (1), we get q = 13 - p = 13 - 7 = 6.Hence the required fraction is p/q = 7/6

Let the required fraction be p/q.Given that, q exceeds p by 7; i.e., q - 7 = pq - p = 7 ...(1)If we increase the numerator as well as the denominator by 9 it becomes (p + 9)/(q + 9)Given that, (p + 9)/(q + 9) = 2/33(p+9) = 2(q+9)3p + 27 = 2q + 182q-3p = 9 ...(2)Multiplying eqn(1) by 2, we get2q - 2p = 14......(3)Now, subtracting eqn(2) from eqn (3),we get p = 14 - 9 = 5Putting p value in (1), we get q = 12.Hence, the required fraction is p/q = 5/12

Converting each of the given fractions into decimal form, we get,5/6 = 0.838/15 = 0.532/3 = 0.663/4 = 0.754/5 = 0.86/7 = 0.85Clearly, 0.85 does not lie between 0.83 and 0.53Hence the required fraction is 6/7.

Given Expression=(a² - b²) / (a - b)=[(a + b)(a - b)] / (a - b)= (a + b)= (2.39 + 1.61)= 4 

We have to find X such that 4/5 < X < 6/7Converting each fraction into decimal form, we get:4/5 = 0.86/7 = 0.85We have to find the fraction which is greater than 0.8 and less than 0.85.Now,2/3 = 0.663/4 = 0.755/6 = 0.8310/11 = 0.91Clearly, 0.83 lies between 0.8 and 0.85.Required fraction is 5/6