Convert the decimal expansion 0.31717 to a fraction. A) 133/455 B) 157/495 C) 52/165 D) 99/166

Question

04-06-2018
Mathematics

contestada

Convert the decimal expansion 0.31717 to a fraction. A) 133/455 B) 157/495 C) 52/165 D) 99/166

Respuesta :

Otras preguntas

Juan has a box that is filled with toys. The box is 3 1/2 feet long,6 feet wide ,and 3 feet high. What is the volume and surface area of a box.

22.6 is an outlier for which of the following sets of data? 1. 22.6, 21.5, 23.7, 22.6, 28.9, 22.6, 20.9 2. 2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9 3. 2

In what ways does kang youwei express a confucian outlook, and in what respects does he show an awareness of a larger world?

which technology was important to the development of the cell theory

Divide and simplify. 32x9y2 2xy-2

Some insects have evolved the ability to pollinate only specific types of flowers. The process of two species evolving together because of interdependence is ca

In one hour 3/4 pint of a chemical can be filtered how long in HOURS will it take to filter 2 1/2 pints of chemical

Factor 6y 2 - 48 + 42y

The climate in Japan and the Koreas is controlled primarily by ____________. A. arctic winds B. monsoons C. desert breezes D. typhoons

Sam is painting a landscape and needs to paint the sky light blue. He mixes blue and white to obtain this color. Light blue is a ____ of the color blue, which h

musiclover10045 musiclover10045 · Answer 1 · 2018-06-04T21:56:20+02:00

The decimal expansion of 0.31717 is an infinite number with the 17 repeating.

Let the given decimal = X, so we have X = 0.31717 ( 1st equation)

Multiply both sides by 100 to get:
100x = 31.717 ( 2nd equation)

Subtract the 1st equation from the 2nd equation:

100x = 31.1717 - x = 0.31717 = 99x = 31.4

Divide both sides by 99:
X = 31.4 / 99

Multiply both numbers by 10 to remove the decimal point:
X = 314 / 990

Divide both numbers by 2 to get the final answer of 157 / 495

The answer is B.