105/24 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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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 from the whole. It has two parts, numerator (number on the top) here, 105 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 24. A decimal is a way to represent the 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 105/24 as a decimal?

$105/24 as a decimal$

Answer

105/24 in decimals can be written as 4.375. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 105/24 into a decimal, we will use the division method.

Step 1: Identify the numerator and denominator because the numerator (105) will be taken as the dividend and the denominator (24) will be taken as the divisor.

Step 2: Divide 105 by 24.

Step 3: 24 goes into 105 four times because 24 × 4 = 96.

Step 4: Subtract 96 from 105, which gives us a remainder of 9.

Step 5: Bring down a 0 to make it 90.

Step 6: 24 goes into 90 three times because 24 × 3 = 72.

Step 7: Subtract 72 from 90, which gives us a remainder of 18.

Step 8: Bring down another 0 to make it 180.

Step 9: 24 goes into 180 seven times because 24 × 7 = 168.

Step 10: Subtract 168 from 180, which gives us a remainder of 12.

Step 11: Bring down another 0 to make it 120.

Step 12: 24 goes into 120 five times because 24 × 5 = 120.

Step 13: Subtract 120 from 120, which leaves us with a remainder of 0, ending the division process.