31/16 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, 31 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 31/16 as a decimal?

$31/16 as a decimal$ Answer

31/16 in decimals can be written as 1.9375. It is a terminating decimal, indicating it ends after four decimal places.

Explanation

To convert 31/16 into a decimal, we will use the division method. Here, since 31 is larger than 16, we can directly divide the numbers. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

Step 2: Divide 31 by 16. The whole number part of the quotient will be 1 since 16 goes into 31 only once.

Step 3: Subtract 16 from 31, which gives a remainder of 15.

Step 4: Bring down a 0 to make it 150, and continue the division process.

Step 5: 16 goes into 150 nine times (16 × 9 = 144). Subtract 144 from 150 to get a remainder of 6.

Step 6: Bring down another 0 to make it 60, and repeat the division process.

Step 7: 16 goes into 60 three times (16 × 3 = 48). Subtract 48 from 60 to get a remainder of 12.

Step 8: Bring down another 0 to make it 120, and repeat the division process.

Step 9: 16 goes into 120 seven times (16 × 7 = 112). Subtract 112 from 120 to get a remainder of 8.

Step 10: Bring down another 0 to make it 80, and repeat the division process.

Step 11: 16 goes into 80 five times (16 × 5 = 80), leaving no remainder.

The answer for 31/16 as a decimal is 1.9375.

Important Glossaries for 31/16 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.