### DECIMAL FRACTIONS

1. Explanation :

0.75 = 75/100 = 3/4

1. Explanation :

3.004 = $$\frac {3004}{1000}$$ =$$\frac {751}{250}$$

1. Explanation :

0.0056 = $$\frac {56}{1000}$$ =$$\frac {7}{1250}$$

1. Explanation :

Converting each of the given fractions into decimal form, we get : 5/8 = 0.624, 7/12 = 0.8125, 16/29 = 0.5517, and 3/4 = 0.75 Now, 0.5517<0.5833<0.625<0.75<0.8125
16/29 < 7/12 < 5/8 < 3/4 < 13/16

1. Explanation :

Clearly, 3/5 = 0.6, 4/7 = 0.571, 8/9 = 0.88, 9/111 = 0.818.
Now, 0.88 > 0.818 > 0.6 > 0.571
8/9 > 9/11 > 3/4 > 13/ 16

1. Explanation :

1. Explanation :

1. Explanation :

1. Explanation :

1. Explanation :

Let 5172.49 + 378.352 + x = 9318.678
Then , x = 9318.678 – (5172.49 + 378.352) = 9318.678 – 5550.842 = 3767.836

1. Explanation :

Let x – 7328.96 = 5169.38. Then, x = 5169.38 + 7328.96 = 12498.34.

1. Explanation :

6.3204 * 1000 = 632.04

1. Explanation :

261 8 13 = 3393. Sum of decimal places of given numbers = (2+1) = 3. 2.61 * 1.3 = 3.393.

1. Explanation :

Sum of decimal places = (2 + 2) = 4 2.68 * 0.74 = 1.9832.

1. Explanation :

204 / 17 = 12. Dividend contains 4 places of decimal. 0.2040 / 17 = 0.0012.

1. Explanation :

136.09/43.9 = (136.09*10) / (43.9*10) = 1360.9 / 439 = 3.1

1. Explanation :

Let 0.006 / x = 0.6, Then, x = (0.006 / 0.6) = (0.006*10) / (0.6*10) = 0.06/6 = 0.01

1. Explanation :

(1 / 0.0003718 ) = ( 10000 / 3.718 ) = 10000 * (1 / 3.718) = 10000 * 0.2689 = 2689.

1. Explanation :

3.142857 = 3 + 0.142857 = 3 + (142857 / 999999) = 3 (142857/999999)

1. Explanation :

Given expression = (a3 + b3) / (a2 – ab + b2), where a = 0.05 , b = 0.04
= (a +b ) = (0.05 +0.04 ) =0.09