10 3/20 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 a whole. It has two parts: numerator (number on the top) here, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole. 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 10 3/20 as a decimal?

$10 3/20 as a decimal$

Answer

10 3/20 in decimals can be written as 10.15. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 10 3/20 to a decimal, we will first convert the fractional part, 3/20, into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (20) as the divisor.

Step 2: Divide 3 by 20. Since 3 is smaller than 20, we will use decimals.

Step 3: Add a decimal point and a zero to 3, making it 30, and add a decimal point in the quotient.

Step 4: Divide 30 by 20. 20 goes into 30 one time, so write 1 in the quotient place and subtract 20 from 30, giving 10.

Step 5: Bring down another 0, making it 100, and divide by 20. 20 goes into 100 five times.

Step 6: Write 5 in the quotient place. There is no remainder, so the division ends here. Thus, 3/20 is 0.15.

Adding this to the whole number 10, we get 10.15.

Important Glossaries for 10 3/20 as a decimal

Mixed Number: A number consisting of an integer and a proper fraction.
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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.
Division: The mathematical operation where a number is divided by another number to find a quotient.