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.

• 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.