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117 LearnersLast updated on March 3rd, 2025
4 7/8 as a Decimal
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, which represents how many parts out of the whole; and denominator (number below), here 8, which shows how many parts make the whole. 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 4 7/8 as a decimal?
Answer
4 7/8 in decimals can be written as 4.875. This is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To get 4 7/8 in decimal, we will first convert the fraction part 7/8 to a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 7 by 8 to convert it to a decimal.
Step 3: As 7 is smaller than 8, we will add a decimal point and a zero to make it 70.
Step 4: 8 goes into 70 eight times (8×8=64), so we write 8 in the quotient place. Subtract 64 from 70 to get 6.
Step 5: Bring down another 0 to make it 60. Divide by 8, which goes 7 times (8×7=56). Subtract 56 from 60 to get 4.
Step 6: Bring down another 0 to make it 40. Divide by 8, which goes 5 times (8×5=40). This leaves a remainder of 0, ending the division.
The decimal for 7/8 is 0.875. Now, combine this with the whole number 4 to get the final decimal: 4.875.
Important Glossaries for 4 7/8 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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