10/40 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 10 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 40. A decimal is a way to represent the 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 10/40 as a decimal?

$10/40 as a decimal$

Answer

10/40 in decimals can be simplified first to 1/4, which can be written as 0.25. It is a terminating decimal, indicating that it does not repeat the same digit infinitely.

Explanation

To get 10/40 in decimal, we will use the division method. Here, 10 is smaller than 40, so we will take the help of decimals, which will give us 0.25. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 10/40 to 1/4 by dividing both the numerator and the denominator by their greatest common factor, which is 10.

Step 2: Identify the numerator and denominator of 1/4, where 1 will be taken as the dividend and 4 as the divisor.

Step 3: As 1 is smaller than 4, it can't be divided in whole numbers. Here we will take the help of decimals. We will add 0 to the dividend, making it 10, and add a decimal point in the quotient place.

Step 4: Now that it is 10, we can divide it by 4. Let's see how many times 4 makes 10.

Step 5: 10 is not a multiple of 4, so we will look for the nearest number, which is 4 × 2 = 8.

Step 6: Write 2 in the quotient place and subtract 8 from 10 to get 2.

Step 7: Bring down another 0 in the dividend place, making it 20, and then divide by 4, which is 5 times 4 = 20. The remainder is 0, so the process stops here.

The answer for 10/40 as a decimal is 0.25.

Important Glossaries for 10/40 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses 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.