7 20 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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, numerator (number on the top) here, 7 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 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 7/20 as a decimal?

$7 20 as a decimal$

Answer

7/20 in decimal form can be written as 0.35. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To convert 7/20 to a decimal, we will use the division method. Here, we will divide the numerator by the denominator.

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (20) will be taken as the divisor.

Step 2: Perform the division 7 ÷ 20. Since 7 is smaller than 20, the division will start with a decimal point in the quotient.

Step 3: Bring a 0 down making it 70, then divide 70 by 20.

Step 4: 20 goes into 70 three times, which gives 20 × 3 = 60. Write 3 in the quotient and subtract 60 from 70, leaving a remainder of 10.

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

Step 6: 20 goes into 100 five times, which gives 20 × 5 = 100. Write 5 in the quotient, and there is no remainder.

The answer for 7/20 as a decimal is 0.35.

Important Glossaries for 7/20 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.