1 1/6 as a Decimal

Professor Greenline Explaining Math Concepts

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 and denominator. The numerator (the number on the top) represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole. 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.

1 1/6 as a Decimal for US Students

What is 1 1/6 as a decimal?

$1 1/6 as a decimal$ Answer

1 1/6 as a decimal can be written as 1.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1 1/6 in decimal form, we will convert the fractional part 1/6 into decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fractional part 1/6. The numerator (1) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

Step 2: As 1 is smaller than 6, it can't be divided, so we will use decimals. We add a decimal point in the quotient and append a 0 to the dividend, making it 10.

Step 3: Now, divide 10 by 6. 6 goes into 10 once, so we write 1 in the quotient and subtract 6 from 10, leaving 4.

Step 4: Bring down another 0, making it 40. Divide 40 by 6, which goes 6 times (6 × 6 = 36), leaving 4.

Step 5: Repeat the process of bringing down a 0 and dividing. The remainder remains 4, causing the decimal to recur.

So, 1 1/6 as a decimal is 1.1666...

Important Glossaries for 1 1/6 as a decimal

Mixed Fraction: A fraction containing both a whole number and a fractional part.

Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.

Dividend: The number being divided in a division operation.

Divisor: The number by which the dividend is divided.

Quotient: The result of dividing one number by another.

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At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 1 1/6 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!