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Chapter 4: Problem 21

Find decimal notation. \(\frac{29}{25}\)

Short Answer

Expert verified
1.16

Step by step solution

01

Understand the problem

The problem asks to convert the fraction \( \frac{29}{25} \) into decimal notation.
02

Perform the division

Divide the numerator (29) by the denominator (25) using long division or a calculator to get the decimal form. \(29 \div 25 = 1.16\).
03

Write the result

The result of the division is the decimal notation of the given fraction.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

decimal notation
Decimal notation is a way of representing numbers where each digit is a power of 10. We write numbers with a series of digits separated by a decimal point. Converting fractions into decimal notation helps in various practical scenarios like measuring, scientific calculations, and financial estimations. For instance, converting \( \frac{29}{25} \) to decimal notation involves finding out how many times 25 can fit into 29. After doing the division, we find that it fits 1.16 times. This means \( 1.16 \) is the decimal equivalent of \( \frac{29}{25} \).
long division
Long division is a method used to divide large numbers. It involves dividing the number step-by-step, starting from the left. Here鈥檚 a simplified guide to perform long division for \( \frac{29}{25} \):

  • Firstly, see how many times 25 can go into 29. That is once (1).
  • Write 1 above the division line, aligned with the 9 in 29. Multiply 1 by 25, which gives us 25.
  • Subtract 25 from 29 to get the remainder, which is 4.
  • Bring down a 0 next to 4, making it 40.
  • Now, see how many times 25 can go into 40, which is 1 again. Write this 1 next to the first 1, aligned after the decimal point.
  • Continue by multiplying 1 by 25, giving us 25 again, and then subtract it from 40. The remainder is 15.
  • Finally, bring down another 0, and see how many times 25 goes into 150, which is 6 times. Write the 6 after the previous ones. Multiply 6 by 25, giving 150, and subtract it to get 0 as the remainder.
Now, our quotient is 1.16, which means \( \frac{29}{25} = 1.16 \).
numerator and denominator
A fraction consists of two parts: the numerator and the denominator. The numerator is the number above the fraction line, and it signifies how many parts we have. The denominator is below the fraction line, indicating the total number of equal parts. For example, in \( \frac{29}{25} \), 29 is the numerator and 25 is the denominator.

To convert this fraction into a decimal, we must divide the numerator (29) by the denominator (25). By understanding how numerators and denominators work, it becomes easier to grasp the process of converting fractions into decimals. Long division simplifies this process, and the result here is the decimal 1.16.

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Most popular questions from this chapter

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