Question
1. In some fractions, the numerator is greater than the denominator. These fractions can be renamed using mixed numbers. A mixed number combines a whole number and a fraction. Circle the fractions that can be renamed as a mixed number. \( \frac{5}{4} \)
Ask by Nunez Campos. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{5}{4} \) can be renamed as \( 1 \frac{1}{4} \).
Solution
To determine if the fraction \( \frac{5}{4} \) can be renamed as a mixed number, we need to check if the numerator (5) is greater than the denominator (4).
Since \( 5 > 4 \), this fraction can indeed be expressed as a mixed number.
To convert \( \frac{5}{4} \) into a mixed number, we can follow these steps:
1. Divide the numerator by the denominator:
- \( 5 \div 4 = 1 \) (whole number part)
- The remainder is \( 5 - (4 \times 1) = 1 \).
2. The mixed number is then formed by combining the whole number part with the remainder over the original denominator:
- Mixed number = \( 1 \frac{1}{4} \).
Thus, \( \frac{5}{4} \) can be renamed as the mixed number \( 1 \frac{1}{4} \).
In conclusion, the fraction \( \frac{5}{4} \) can be circled as it can be renamed as a mixed number.
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Simplify this solution Mind Expander
Did you know that improper fractions, like \( \frac{5}{4} \), have a long history in mathematics? They were used by ancient civilizations, including the Egyptians, who employed them in their fraction system. Understanding these fractions has helped shape the development of more advanced mathematical concepts! When converting an improper fraction to a mixed number, it's as easy as dividing the numerator by the denominator. For \( \frac{5}{4} \), you would divide 5 by 4, which gives you 1 with a remainder of 1. So, it can be renamed as \( 1 \frac{1}{4} \)—simple and satisfying!
