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105 LearnersLast updated on March 24th, 2025
7/35 as a decimal
This is a simple question on decimal conversion. To begin, we need to understand fractions and decimals. A fraction represents a part of a whole, consisting of a numerator (the number on top) and a denominator (the number below). In this case, the numerator is 7, indicating how many parts are being considered, and the denominator is 35, showing how many parts make up the whole. A decimal represents a non-whole number 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 number, and the numbers to the right represent the fractional part.
What is 7/35 as a decimal?
Answer
7/35 as a decimal is 0.2. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 7/35 into a decimal, use the division method. Since 7 is smaller than 35, we apply the decimal method to get 0.2. Here’s a step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (7) will be the dividend, and the denominator (35) will be the divisor.
Step 2: As 7 is smaller than 35, it can't be divided directly. We'll use decimals by adding 0 to the dividend, making it 70, and placing a decimal point in the quotient.
Step 3: Now that it is 70, divide it by 35. Determine how many times 35 fits into 70.
Step 4: 70 is exactly 2 times 35. Therefore, place 2 in the quotient, and subtract 70 from 70, which gives a remainder of 0.
Step 5: Since the remainder is 0, the division process stops here.
The answer for 7/35 as a decimal is 0.2.
Important Glossaries for 7/35 as a decimal
- Fraction: A numerical expression representing a part of a whole, comprised of a numerator and a denominator.
- Decimal: A base-ten number that includes a decimal point to distinguish between the whole number part and the fractional part.
- Numerator: The top portion of a fraction, indicating how many parts of the whole are considered.
- Denominator: The bottom portion of a fraction, showing the total number of equal parts that make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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