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Last updated on March 13th, 2025
This is a simple question on decimal conversion. Firstly, we must understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), here 29, which represents how many parts out of the whole, and the denominator (the number below), which shows how many parts make the whole, here it is 4. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
29/4 in decimal form can be written as 7.25. This is a terminating decimal, meaning it has a finite number of decimal places.
To convert 29/4 into a decimal, we use division. Here, 29 is larger than 4, so we can divide directly. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (29) will be taken as the dividend and the denominator (4) will be the divisor.
Step 2: Divide 29 by 4. 4 goes into 29 seven times (4 × 7 = 28).
Step 3: Write 7 in the quotient place and subtract 28 from 29, leaving a remainder of 1.
Step 4: Bring down a 0 to make the remainder 10 and continue the division.
Step 5: 4 goes into 10 two times (4 × 2 = 8). Write 2 in the quotient after the decimal point and subtract 8 from 10, leaving a remainder of 2.
Step 6: Bring down another 0 to make the remainder 20 and divide again.
Step 7: 4 goes into 20 five times (4 × 5 = 20). Write 5 in the quotient and subtract 20 from 20, leaving a remainder of 0. Since the remainder is 0, the process stops here.
The answer for 29/4 as a decimal is 7.25.