Solve. Write all answers in lowest terms. 16 out of the 24...

Solve. Write all answers in lowest terms. 16 out of the 24 people enrolled in a CPR course plan to go into a health-related field. $\frac{5}{8}$ of the people who intend to pursue a health field plan to go into nursing. What fraction of all of the people enrolled plan to become nurses? How many people is this?

Solve. Write all answers in lowest terms.
16 out of the 24 people enrolled in a CPR course plan to go into a health-related field. $\frac{5}{8}$ of the people who intend to pursue a health field plan to go into nursing. What fraction of all of the people enrolled plan to become nurses? How many people is this?

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Key Concepts

Fraction Multiplication

Fraction multiplication is the process of multiplying two fractions together by multiplying their numerators to form a new numerator and their denominators to form a new denominator. This concept is essential when calculating a part of a part, such as finding the portion of a group that meets a more specific criterion.

Simplifying Fractions

Simplifying fractions involves reducing a fraction to its lowest terms by dividing the numerator and the denominator by their greatest common divisor. This process makes fractions easier to understand and compare, and it is a critical step in ensuring that answers are presented in the simplest form.

Part-to-Whole Relationships

Part-to-whole relationships describe how a subset relates to the entire set using fractions or percentages. This understanding is important when dealing with problems that require determining how a portion of a group contributes to the overall total or distribution.

Rational Numbers

Rational numbers, which include fractions, are numbers that can be expressed as the quotient of two integers where the denominator is not zero. Mastery of rational numbers is fundamental in arithmetic operations, such as addition, multiplication, and simplification, and they are frequently used to model real-world situations involving proportions and ratios.

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