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110 LearnersLast updated on March 3rd, 2025
2 3/4 as a Decimal
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), which here is 3, representing how many parts out of the whole we have, and the denominator (number below), which is 4, showing 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 part, and those to the right represent the fractional part.
What is 2 3/4 as a decimal?
Answer
2 3/4 in decimals can be written as 2.75. It is a terminating decimal, which means it does not repeat infinitely.
Explanation
To convert 2 3/4 to a decimal, we will first convert the fractional part, 3/4, into a decimal. Then, we'll add it to the whole number, 2. Let's see the step-by-step breakdown of the process:
Step 1: Identify the fraction 3/4. The numerator (3) will be taken as the dividend, and the denominator (4) will be taken as the divisor.
Step 2: Divide 3 by 4. Since 3 is smaller than 4, we'll use decimal division.
Step 3: Add 0 to the dividend to make it 30, and place a decimal point in the quotient.
Step 4: Divide 30 by 4. 4 goes into 30 seven times (4 × 7 = 28). Write 7 in the quotient place and subtract 28 from 30, leaving a remainder of 2.
Step 5: Bring down a 0 to make the remainder 20 and divide by 4 again. 4 goes into 20 five times (4 × 5 = 20). Write 5 in the quotient place.
Step 6: There is no remainder, so the decimal conversion of 3/4 is 0.75.
Step 7: Add 0.75 to the whole number 2, resulting in 2.75.
Thus, 2 3/4 as a decimal is 2.75.
Important Glossaries for 2 3/4 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.
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