46 cents is what fraction of dollar ?
The correct answer and explanation is:
46 cents is 46/100 of a dollar, or it can be simplified to 23/50.
To break it down, a dollar is equivalent to 100 cents. So, to find the fraction of a dollar that 46 cents represents, you simply write it as the ratio of 46 cents to 100 cents, which is 46/100.
Next, you can simplify this fraction by finding the greatest common divisor (GCD) of 46 and 100. The factors of 46 are 1, 2, 23, and 46, while the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The greatest common factor between 46 and 100 is 2. Dividing both the numerator and the denominator by 2, you get 23/50.
Thus, 46 cents is 23/50 of a dollar. This fraction can also be expressed as a decimal by dividing 23 by 50, which equals 0.46. In other words, 46 cents is 46% of a dollar, or 0.46 of one whole dollar.
Understanding how to convert between cents and dollars is crucial in many financial calculations. Fractions like these can help in determining proportions of prices, discounts, and other financial matters. The simplification of fractions, like in this case, ensures the numbers are in their simplest form and easier to work with in practical applications.