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102 LearnersLast updated on March 27th, 2025
35/52 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: the numerator (number on the top), here 35, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 52. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.
What is 35/52 as a decimal?
Answer
35/52 in decimals can be written as approximately 0.6731. This is a terminating decimal.
Explanation
To convert 35/52 into a decimal, we will use the division method. Let's break down the process step by step:
Step 1: Identify the numerator and denominator because the numerator (35) will be taken as the dividend, and the denominator (52) will be taken as the divisor.
Step 2: Perform the division of 35 by 52. Since 35 is smaller than 52, we will add a decimal point and a zero to the right of 35, making it 350.
Step 3: Divide 350 by 52. The nearest multiple of 52 that is less than or equal to 350 is 6 (since 52 x 6 = 312).
Step 4: Subtract 312 from 350, which leaves 38.
Step 5: Bring down another 0, making it 380, and repeat the division process.
Step 6: Divide 380 by 52. The nearest multiple of 52 that is less than or equal to 380 is 7 (since 52 x 7 = 364).
Step 7: Subtract 364 from 380, which leaves 16.
Step 8: Bring down another 0, making it 160, and repeat the division process.
Step 9: Divide 160 by 52. The nearest multiple of 52 that is less than or equal to 160 is 3 (since 52 x 3 = 156).
Step 10: Subtract 156 from 160, which leaves 4.
Step 11: Bring down another 0, making it 40, and repeat the division process.
Step 12: Divide 40 by 52. Since 40 is less than 52, we add another 0 to bring down, making it 400.
Step 13: Divide 400 by 52. The nearest multiple of 52 that is less than or equal to 400 is 7 (since 52 x 7 = 364).
Step 14: Subtract 364 from 400, leaving 36.
Step 15: The decimal conversion can continue further, but at this stage, we can round it to 0.6731 for simplicity.
Important Glossaries for 35/52 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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