Choose the improper fraction equivalent to the mixed number below. [tex]$5 \frac{5}{9}$[/tex]
A. [tex]$\frac{48}{9}$[/tex]
B. [tex]$\frac{49}{9}$[/tex]
C. [tex]$\frac{51}{9}$[/tex]
D. [tex]$\frac{50}{9}$[/tex]
Answer (1)
Multiply the whole number (5) by the denominator (9): 5 × 9 = 45 .
Add the result to the numerator (5): 45 + 5 = 50 .
Place the result (50) over the original denominator (9): 9 50 .
The improper fraction equivalent to 5 9 5 is 9 50 .
Explanation
Understanding the Problem We need to convert the mixed number 5 9 5 into an improper fraction.
Conversion Method To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. The result becomes the new numerator, and we keep the same denominator.
Multiply Whole Number by Denominator First, multiply the whole number (5) by the denominator (9): 5 × 9 = 45
Add to Numerator Next, add the result (45) to the numerator (5): 45 + 5 = 50
Form Improper Fraction Now, place the result (50) over the original denominator (9) to get the improper fraction: 9 50
Identify Correct Option Comparing our result with the given options, we see that option D, 9 50 , matches our calculated improper fraction.
Final Answer Therefore, the improper fraction equivalent to the mixed number 5 9 5 is 9 50 .
Examples
Mixed numbers and improper fractions are useful in everyday situations, such as cooking and baking. For example, if a recipe calls for 2 2 1 cups of flour, you might want to convert this to an improper fraction, 2 5 , to easily calculate how much flour you need if you're doubling the recipe. Understanding how to convert between these forms allows for easier calculations and measurements in practical tasks.
