Fraction Comparison and Representation Quiz

Answer explanation

To order the fractions, convert them to a common denominator or compare their decimal values. The correct order from least to greatest is \(\frac{3}{10}, \frac{3}{8}, \frac{3}{5}, \frac{3}{4}\). Thus, the correct choice is the first option.

Tags

CCSS.3.NF.A.3D

• Cannot be determined

Answer explanation

To compare \(\frac{5}{6}\) and \(\frac{5}{9}\), we can find a common denominator or convert them to decimals. \(\frac{5}{6} \approx 0.833\) and \(\frac{5}{9} \approx 0.556\). Thus, \(\frac{5}{6} > \frac{5}{9}\).

Tags

CCSS.3.NF.A.3D

Answer explanation

To find an equivalent fraction, multiply both the numerator and denominator of \(\frac{2}{3}\) by the same number. Multiplying by 2 gives \(\frac{4}{6}\), which is equivalent to \(\frac{2}{3}\).

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

If you have 7 cookies and share them equally among 4 friends, how much does each friend get? Write your answer as a fraction.

Answer explanation

To find out how many cookies each friend gets, divide the total cookies by the number of friends: 7 cookies ÷ 4 friends = \frac{7}{4}. Each friend gets \frac{7}{4} cookies.

Tags

CCSS.5.NF.B.3

Answer explanation

The correct decomposition of \( \frac{7}{8} \) is \( \frac{3}{8} + \frac{4}{8} \) because when you add these fractions, you get \( \frac{3+4}{8} = \frac{7}{8} \). Other options do not sum to \( \frac{7}{8} \).

Tags

CCSS.4.NF.B.3B

Answer explanation

To order the mixed numbers, convert them to improper fractions: 1 3/4 = 7/4, 1 2/3 = 5/3, 1 1/2 = 3/2, 1 1/4 = 5/4. Comparing these, the order from greatest to least is 1 3/4, 1 2/3, 1 1/2, 1 1/4.

Tags

CCSS.4.NF.A.2

Which is true?

Answer explanation

To compare fractions, we can find a common denominator or convert them to decimals. Here, \( \frac{4}{7} \approx 0.571 \) and \( \frac{4}{9} \approx 0.444 \). Since 0.571 > 0.444, the correct statement is \( \frac{4}{7} > \frac{4}{9} \).

Tags

CCSS.3.NF.A.3D

Answer explanation

To determine if a fraction is equivalent, we can cross-multiply or simplify. Here, \( \frac{6}{8} \) simplifies to \( \frac{3}{4} \), making it equivalent. The other options do not equal \( \frac{3}{4} \).

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

If 5 pizzas are shared equally among 8 people, how much pizza does each person get?

Answer explanation

To find out how much pizza each person gets, divide the total number of pizzas (5) by the number of people (8). This gives \( \frac{5}{8} \) of a pizza per person, which is the correct answer.

Tags

CCSS.5.NF.B.3

Answer explanation

The correct choice is \(\frac{4}{10} + \frac{5}{10}\) because it adds up to \(\frac{9}{10}\). The other options do not sum to \(\frac{9}{10}\).

Tags

CCSS.4.NF.B.3A