13/32 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 13, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 32. 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 13/32 as a decimal?

$13/32 as a decimal$

Answer

13/32 in decimals can be written as 0.40625. It is a terminating decimal, meaning it ends after a few digits.

Explanation

To get 13/32 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend, and the denominator (32) will be taken as the divisor.

Step 2: Divide 13 by 32. Since 13 is smaller than 32, the result will be less than 1. We will add a decimal point and additional zeros to the dividend.

Step 3: 32 does not go into 13, so we consider 130 (by adding a zero). 32 goes into 130 four times (32 × 4 = 128). Subtract 128 from 130 to get 2.

Step 4: Bring down another 0, making it 20. 32 does not go into 20, so we bring down another 0 to make 200. 32 goes into 200 six times (32 × 6 = 192). Subtract 192 from 200 to get 8.

Step 5: Bring down another 0, making it 80. 32 goes into 80 two times (32 × 2 = 64). Subtract 64 from 80 to get 16.

Step 6: Bring down another 0, making it 160. 32 goes into 160 five times (32 × 5 = 160). Subtract 160 from 160 to get 0. Thus, the division ends, and the answer for 13/32 as a decimal is 0.40625.