5.NF.3 and 5.NF.4a

Front

What is the multiplication of two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, \( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \).

Front

How do you find a fraction of a whole number?

Back

To find a fraction of a whole number, multiply the whole number by the numerator of the fraction and then divide by the denominator. For example, to find \( \frac{1}{3} \) of 12, calculate \( 12 \times 1 \div 3 = 4 \).

Front

What is the formula for finding the area of a rectangle using fractions?

Back

The area of a rectangle can be found by multiplying its length and width. If both dimensions are fractions, use the multiplication of fractions formula: \( \text{Area} = \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \).

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify \( \frac{8}{12} \), divide both by 4 to get \( \frac{2}{3} \).

Front

What does it mean to share equally?

Back

To share equally means to divide a quantity into equal parts. For example, if 4 pizzas are shared among 15 students, each student receives \( \frac{4}{15} \) of a pizza.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication of fractions involves combining parts, while division of fractions involves determining how many times one fraction fits into another. For example, dividing by a fraction is equivalent to multiplying by its reciprocal.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is a reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping its numerator and denominator. For example, the reciprocal of \( \frac{a}{b} \) is \( \frac{b}{a} \).

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert each fraction, and then add the numerators. For example, to add \( \frac{1}{3} + \frac{1}{4} \), convert to \( \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \).

Front

What is the process for multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. For example, \( 3 \times \frac{2}{5} = \frac{6}{5} \).