4 17/125 as a Decimal

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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 17 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 125. 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 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 17/125 as a decimal?

$4 17/125 as a decimal$

Answer

4 17/125 in decimals can be written as 4.136. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 4 17/125 into a decimal, we separate the whole number from the fractional part. The whole number is 4. For the fractional part, we use division method:

Step 1: Identify the numerator and denominator. The numerator (17) will be taken as the dividend and the denominator (125) will be the divisor.

Step 2: Divide 17 by 125. As 17 is smaller than 125, we will add 0 to the dividend, making it 170, and place a decimal point in the quotient.

Step 3: Divide 170 by 125, which goes 1 time (125 × 1 = 125). Subtract 125 from 170 to get 45.

Step 4: Bring down another 0 to make it 450 and divide by 125 again. This goes 3 times (125 × 3 = 375). Subtract 375 from 450 to get 75.

Step 5: Bring down another 0 to make it 750 and divide by 125, which goes 6 times (125 × 6 = 750). This results in a remainder of 0, ending the division. Thus, 17/125 as a decimal is 0.136.

Adding the whole number part, 4, we get 4.136.

Important Glossaries for 4 17/125 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.