76/9 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 from the whole. It has two parts, numerator (number on the top) here, 76 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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 that to the right represents the fractional part.

What is 76/9 as a decimal?

$76/9 as a decimal$

Answer

76/9 in decimals can be written as 8.4444….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 76/9 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (76) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 76 by 9. The whole number part of the quotient is 8, as 9 × 8 = 72, which is the nearest whole number less than 76.

Step 3: Subtract 72 from 76, which gives 4.

Step 4: Bring down a 0 to make it 40, and divide by 9.

Step 5: 9 goes into 40 four times (9 × 4 = 36). Write 4 in the quotient after the decimal point and subtract 36 from 40, giving 4.

Step 6: Bring down another 0, making it 40 again, and repeat the division process. The division process continues, and we don't get the remainder as 0, indicating a recurring decimal.

The answer for 76/9 as a decimal will be 8.4444……

Important Glossaries for 76/9 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.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.