25/176 as a Decimal

Professor Greenline Explaining Math Concepts

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This is a straightforward question on decimal conversion. First, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 25, which shows how many parts we have out of the whole. The denominator (the number below) is 176, indicating how many parts make up the whole. A decimal is a way to express a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 25/176 as a decimal?

$25/176 as a decimal$

Answer

25/176 as a decimal can be written as 0.14204545454... It is a recurring decimal, which means that a sequence of digits repeats infinitely.

Explanation

To convert 25/176 into a decimal, we will use the division method. Since 25 is smaller than 176, we will use the decimal method to find the quotient. Here's a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (25) will be the dividend, and the denominator (176) will be the divisor.

Step 2: Since 25 is smaller than 176, it can't be divided directly. We will use decimals by adding 0 to the dividend, which makes it 250, and add a decimal point in the quotient.

Step 3: Now divide 250 by 176. Determine how many times 176 fits into 250.

Step 4: 176 fits into 250 once (1 × 176 = 176). Subtract 176 from 250, leaving a remainder of 74.

Step 5: Bring down a 0 in the dividend, making it 740, and repeat the division process.

Step 6: 176 fits into 740 four times (4 × 176 = 704). Subtract 704 from 740, leaving a remainder of 36. Continue this process, bringing down zeros and repeating the division, to see the recurring sequence.

The answer for 25/176 as a decimal is 0.14204545454...