Dividing Mixed Numbers Quiz

Answer explanation

To divide mixed numbers, convert them to improper fractions: 3 1/4 = 13/4 and 2 2/5 = 12/5. Then, divide by multiplying by the reciprocal: (13/4) ÷ (12/5) = (13/4) * (5/12) = 65/48. Simplifying gives 32/65.

Tags

CCSS.6.NS.A.1

Answer explanation

To divide mixed numbers, convert them to improper fractions: 5 3/8 = 43/8 and 1 1/6 = 7/6. Then, multiply by the reciprocal: (43/8) ÷ (7/6) = (43/8) * (6/7) = 43/14. Thus, the answer is \(\frac{43}{14}\).

Tags

CCSS.6.NS.A.1

Answer explanation

To divide mixed numbers, convert them to improper fractions. \(7 \frac{2}{3} = \frac{23}{3}\) and \(3 \frac{3}{4} = \frac{15}{4}\). Then, divide: \(\frac{23}{3} \div \frac{15}{4} = \frac{23}{3} \times \frac{4}{15} = \frac{92}{45}\).

Tags

CCSS.6.NS.A.1

Answer explanation

To divide mixed numbers, convert them to improper fractions. \(4 \frac{5}{6} = \frac{29}{6}\) and \(2 \frac{1}{3} = \frac{7}{3}\). Then, multiply by the reciprocal: \(\frac{29}{6} \times \frac{3}{7} = \frac{29}{14}\). Thus, the answer is \(\frac{29}{14}\).

Tags

CCSS.6.NS.A.1

Answer explanation

To divide mixed numbers, convert them to improper fractions: 6 1/2 = 13/2 and 4 4/5 = 24/5. Then, divide by multiplying by the reciprocal: (13/2) ÷ (24/5) = (13/2) * (5/24) = 65/48. Thus, the correct answer is \(\frac{65}{48}\).

Tags

CCSS.6.NS.A.1

Answer explanation

To divide mixed numbers, convert them to improper fractions: 8 3/7 = 59/7 and 5 2/9 = 47/9. Then, divide by multiplying by the reciprocal: (59/7) ÷ (47/9) = (59/7) * (9/47) = 531/329. Simplifying gives 75/47.

Tags

CCSS.6.NS.A.1

Answer explanation

To divide mixed numbers, convert them to improper fractions: 9 1/5 = 46/5 and 6 3/8 = 51/8. Then, divide by multiplying by the reciprocal: (46/5) ÷ (51/8) = (46/5) * (8/51) = 368/255, which simplifies to 73/51.

Tags

CCSS.6.NS.A.1

Answer explanation

To divide mixed numbers, convert them to improper fractions: 10 2/3 = 32/3 and 7 5/6 = 47/6. Then, divide by multiplying by the reciprocal: (32/3) ÷ (47/6) = (32/3) * (6/47) = 32/21. Thus, the answer is \frac{32}{21}.

Tags

CCSS.6.NS.A.1

Answer explanation

To divide the mixed numbers, convert them to improper fractions: 11 4/9 = 103/9 and 8 1/3 = 25/3. Then, divide by multiplying by the reciprocal: (103/9) ÷ (25/3) = (103/9) * (3/25) = 103/75. Thus, the correct answer is \frac{103}{75}.

Tags

CCSS.6.NS.A.1

Answer explanation

To divide mixed numbers, convert them to improper fractions. For 2 \frac{3}{5}, it becomes \frac{13}{5}, and for 1 \frac{4}{7}, it becomes \frac{11}{7}. Then, divide: \frac{13}{5} \div \frac{11}{7} = \frac{13}{5} \times \frac{7}{11} = \frac{91}{55}. Simplifying gives \frac{19}{10}, the correct answer.

Tags

CCSS.6.NS.A.1