Exploring Equivalent Fractions and Their Solutions

Math Mom introduces equivalent fractions, explaining that they are fractions with different numerators and denominators but represent the same value. Using a cake analogy, she illustrates how fractions like 1/2 and 5/10 are equivalent. She then explains how to calculate equivalent fractions by multiplying or dividing both the numerator and denominator by the same number. The video includes various examples, demonstrating both multiplication and division methods to find equivalent fractions. Math Mom concludes with a recap of the key concepts and examples.

What does 'equivalent' mean in the context of fractions?

• Fractions that represent different values.

• Fractions that have the same numerators and denominators.

• Fractions that have different numerators and denominators but represent the same value.

• Fractions that can be simplified to the same number.

If a cake is divided into 10 equal pieces and 5 are eaten, what fraction of the cake is left?

• 5/5

• 1/10

• 5/10

• 1/2

How do you find an equivalent fraction?

• By adding the same number to both the numerator and denominator.

• By subtracting the same number from both the numerator and denominator.

• By multiplying or dividing both the numerator and denominator by the same number.

• By dividing the numerator by the denominator.

What is the equivalent fraction of 3/8 with a denominator of 24?

• 9/24

• 6/24

• 3/24

• 12/24

When converting to a smaller fraction, what operation do you use?

• Multiplication

• Division

• Addition

• Subtraction

What is the equivalent fraction of 20/35 in simplest form?

• 20/35

• 6/7

• 4/7

• 5/7

If you have a fraction with a numerator of 7 and you want an equivalent fraction with a denominator of 16, what is the new numerator?

• 28

• 14

• 7

• 56

How do you adjust the numerator when changing the denominator to find an equivalent fraction?

• Keep the numerator the same.

• Choose a random number for the numerator.

• Always double the numerator.

• Multiply or divide the numerator by the same factor as the denominator.

What demonstrates that two fractions are equivalent?

• They have the same denominator.

• They represent the same portion of a whole.

• Their numerators are the same.

• They can be both simplified to 1.

What is the numerator of an equivalent fraction of 1/2 with a denominator of 100?

• 100

• 75

• 50

• 25