59/20 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 59 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 20. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 59/20 as a decimal?

$59/20 as a decimal$

Answer

59/20 in decimals can be written as 2.95. It is a terminating decimal, which means it does not repeat.

Explanation

To convert 59/20 into a decimal, we will use the division method. Here, 59 is larger than 20, so we can directly divide it. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (59) will be taken as the dividend and the denominator (20) will be taken as the divisor.

Step 2: Divide 59 by 20. 20 goes into 59 two times, which gives us 40 when multiplied (20 × 2 = 40).

Step 3: Subtract 40 from 59, which leaves a remainder of 19.

Step 4: Bring down a 0 to make it 190. Divide 190 by 20. 20 goes into 190 nine times (20 × 9 = 180).

Step 5: Subtract 180 from 190, which leaves a remainder of 10.

Step 6: Bring down another 0 to make it 100. Divide 100 by 20. 20 goes into 100 five times (20 × 5 = 100). The remainder is 0, and the division process ends here.

The answer for 59/20 as a decimal will be 2.95.