1 1/5 as a Decimal

Professor Greenline Explaining Math Concepts

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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 from the whole. It has two parts: the numerator (number on the top) here, 6, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. 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 1 1/5 as a decimal?

$1 1/5 as a decimal$

Answer

1 1/5 in decimal form can be written as 1.2. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To convert 1 1/5 into a decimal, we will use the division method for the fractional part. The mixed number consists of a whole number (1) and a fraction (1/5). Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 1, and the fraction is 1/5.

Step 2: Convert the fraction 1/5 into a decimal. The numerator (1) will be taken as the dividend, and the denominator (5) will be taken as the divisor.

Step 3: Divide 1 by 5. Since 1 is smaller than 5, we add a decimal point and a zero to make it 10.

Step 4: Divide 10 by 5, which gives 2. Write 2 to the right of the decimal point.

Step 5: Combine the whole number with the decimal.

The whole number is 1, and the decimal from the fraction is 0.2, resulting in 1.2.

Important Glossaries for 1 1/5 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.

Mixed Number: A number consisting of a whole number and a fraction. Terminating Decimal: A decimal that ends and does not repeat infinitely.

Division: A mathematical operation where one number, the dividend, is divided by another, the divisor, to find how many times the divisor fits into the dividend.