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Chapter 1: Problem 25

\(\frac{9}{16}\)

Short Answer

Expert verified
\(\frac{9}{16}\)

Step by step solution

01

Evaluate the Fraction

Fractions represent a part of a whole. The fraction \(\frac{9}{16}\) can be interpreted as 9 out of 16 parts of a whole. In decimals, this value can be determined by dividing the numerator (9) by the denominator (16).

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Key Concepts

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

Numerator
In a fraction, the numerator is the top number. It tells you how many parts of a whole you are working with. For example, in \(\frac{9}{16}\), 9 is the numerator.
  • The numerator shows how many similar portions you take from the whole.
  • This number sits above the line in a fraction.
  • It's essential for determining the specific fraction of the total you're considering.

Think of the numerator as the "selector" of pieces. If you're cutting a cake, and you take 9 slices out of 16, the number 9 tells you the exact number of chosen slices.
Denominator
The denominator is the bottom number of a fraction. It indicates into how many equal parts the whole is divided. In \(\frac{9}{16}\), 16 is the denominator.
  • The denominator shows the total number of equal parts.
  • It sits below the line in a fraction.
  • The denominator helps us understand the scale or size of the portions.

Imagine the denominator as the "divider." If you have a pie cut into 16 slices, the denominator tells you that the total pie is divided into 16 pieces, establishing the relationship with the numerator.
Decimal Conversion
Decimal conversion transforms a fraction into a decimal, which can be easier to understand or use in calculations. To convert a fraction like \(\frac{9}{16}\) into a decimal, you divide the numerator by the denominator.

Divide 9 by 16 which equals 0.5625.
  • Decimals are another way to represent fractions with a base of 10.
  • Conversion can simplify comparisons and calculations.
  • This method is especially useful in both mathematics and real-life scenarios like measuring or computing.

Decimal conversion allows you to visualize the fraction as part of a whole in a different form, often resulting in easier comprehension or calculation.

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Most popular questions from this chapter

\(-7(5-2) \neq-7(5)-7(2)\)

\(\frac{4.19-7(2.27)}{14.8}\)

\(\frac{16}{2} \cdot 2 \neq 4\)

\(\frac{2}{3}\left(\frac{3}{4}\right)+2-\frac{3}{2}\)

\(15+3 \cdot 4\)
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