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Chapter 5: Problem 17

Add \(\frac{5}{16}+0.75\) A. 0.3125 B. 0.37523 C. 1.0625 D. 0.5625

Short Answer

Expert verified
The correct answer is C. 1.0625.

Step by step solution

01

Convert the Mixed Numbers into Fractions or Decimals

The given numbers are \(\frac{5}{16}\) and \(0.75\). Since \(0.75\) is a decimal, let's convert \(\frac{5}{16}\) to a decimal for easier addition. This can be done by dividing 5 by 16. \[ \frac{5}{16} = 0.3125 \]
02

Add the Decimals

Now, add the decimally converted \(\frac{5}{16}\), which is \(0.3125\), to \(0.75\). \[ 0.3125 + 0.75 = 1.0625 \]
03

Select the Correct Answer

Look at the multiple-choice options to find the answer closest to the result obtained in Step 2. The answer that matches \(1.0625\) is option C.

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Key Concepts

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

Converting Fractions to Decimals
To add a fraction and a decimal efficiently, it's often helpful to convert the fraction into a decimal. This is because decimals simplify the process of addition when compared to working with fractions. Here鈥檚 how you can convert a fraction into a decimal:
  • Divide the numerator (the top number of the fraction) by the denominator (the bottom number).
  • For example, with the fraction \(\frac{5}{16}\), divide 5 by 16.
  • Using a calculator, you will find that \(\frac{5}{16} = 0.3125\).
This simple division will give you a decimal that is equivalent to the original fraction. Now, you can add it to another decimal, such as 0.75, with ease.
Decimal Addition
Once all numbers are in decimal form, adding them is straightforward. With our problem, after converting \(\frac{5}{16}\) to 0.3125, we proceed to add 0.75 to it. Here's a breakdown:
  • Write down the numbers ensuring the decimal points are aligned vertically.
  • Add the numbers starting from the rightmost digit, moving towards the left.
  • If necessary, carry over any extra value to the next left column.
Performing these steps for 0.3125 and 0.75 results in 1.0625. Decimal addition can quickly provide the result when numbers are aligned correctly.
Multiple-Choice Questions
Multiple-choice questions can be useful tools for testing knowledge and ensuring understanding. They offer several possible answers from which one must choose the correct one. Here's how to approach them effectively:
  • First, solve the problem independently to find your answer.
  • Match your answer to the given options.
  • Check through all options to ensure there's no better match.
  • For example, upon computing the sum of 0.3125 and 0.75, you find it equals 1.0625. By examining the options, option C corresponds to this value.
Encouraging students to work through the problem before looking at the options can help prevent guesswork and reinforce learning. Multiple-choice questions can be an effective method for self-assessment when approached properly.

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Most popular questions from this chapter

Change \(\frac{13}{16}\) to a decimal. A. 0.825 B. 0.6375 C. 1.203 D. 0.8125

Multiply \(0.061 \times 3.2\). A. 3.261 B. 3.139 C. 0.2031 D. 0.1952

Change \(\frac{11}{12}\) to a decimal. A. \(0.9 \overline{16}\) B. \(1 . \overline{09}\) C. \(0.91 \overline{6}\) D. \(0 . \overline{916}\)

Round 0.62827 to the nearest thousandth. A. 0.63 B. 0.628 C. 0.629 D. 0.6283

Multiply \(\frac{9}{10} \times 0.06\) A. 0.55 B. 0.6 C. \(\frac{27}{500}\) D. \(\frac{3}{2}\)
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