Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 6 Lesson 6.3 Multiplying Mixed Numbers regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 6 Lesson 6.3 Multiplying Mixed Numbers Answers Key
2\(\frac{1}{5}\) × 1\(\frac{1}{4}\) = \(\frac{11}{5}\) × \(\frac{5}{4}\) Rewrite the mixed numbers as improper fractions.
= \(\frac{55}{20}\) Multiply the fractions.
= 2\(\frac{15}{20}\) = 2\(\frac{3}{4}\) Write the answer in simplest form.
Multiply. Write answers in simplest form.
Question 1.
a. 2\(\frac{1}{4}\) × 2\(\frac{1}{3}\) = ________________
Answer:
5\(\frac{1}{4}\)
Explanation:
Given,
2\(\frac{1}{4}\) × 2\(\frac{1}{3}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{9}{4}\) × \(\frac{7}{3}\)
Multiply the fractions.
\(\frac{9 \times 7}{4 \times 3}\) = \(\frac{63}{12}\)
Write the answer in simplest form.
\(\frac{21}{4}\) = 5\(\frac{1}{4}\)
b. 5\(\frac{1}{2}\) × 1\(\frac{1}{6}\) = ________________
Answer:
6\(\frac{5}{12}\)
Explanation:
Given,
5\(\frac{1}{2}\) × 1\(\frac{1}{6}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{11}{2}\) × \(\frac{7}{6}\)
Multiply the fractions.
\(\frac{11 \times 7}{2 \times 6}\) = \(\frac{77}{12}\)
Write the answer in simplest form.
6\(\frac{5}{12}\)
c. 3\(\frac{1}{4}\) × 4\(\frac{2}{3}\) = ________________
Answer:
15\(\frac{1}{6}\)
Explanation:
Given,
3\(\frac{1}{4}\) × 4\(\frac{2}{3}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{13}{4}\) × \(\frac{14}{3}\)
Multiply the fractions.
\(\frac{13 \times 14}{4 \times 3}\) = \(\frac{182}{12}\)
Write the answer in simplest form.
\(\frac{91}{6}\) = 15\(\frac{1}{6}\)
d. 1\(\frac{6}{7}\) × 2\(\frac{2}{3}\) = ________________
Answer:
4\(\frac{20}{21}\)
Explanation:
Given,
1\(\frac{6}{7}\) × 2\(\frac{2}{3}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{13}{7}\) × \(\frac{8}{3}\)
Multiply the fractions.
\(\frac{13 \times 8}{7 \times 3}\) = \(\frac{104}{21}\)
Write the answer in simplest form.
4\(\frac{20}{21}\)
Question 2.
a. 1\(\frac{7}{10}\) × 4\(\frac{3}{4}\) = ________________
Answer:
8\(\frac{3}{40}\)
Explanation:
Given,
1\(\frac{7}{10}\) × 4\(\frac{3}{4}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{17}{10}\) × \(\frac{19}{4}\)
Multiply the fractions.
\(\frac{17 \times 19}{10 \times 4}\) = \(\frac{323}{40}\)
Write the answer in simplest form.
8\(\frac{3}{40}\)
b. 3\(\frac{3}{5}\) × 4\(\frac{1}{7}\) = ________________
Answer:
14\(\frac{32}{35}\)
Explanation:
Given,
3\(\frac{3}{5}\) × 4\(\frac{1}{7}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{18}{5}\) × \(\frac{29}{7}\)
Multiply the fractions.
\(\frac{18 \times 29}{5 \times 7}\) = \(\frac{522}{35}\)
Write the answer in simplest form.
14\(\frac{32}{35}\)
c. 1\(\frac{5}{9}\) × 3\(\frac{1}{2}\) = ________________
Answer:
5\(\frac{4}{9}\)
Explanation:
Given,
1\(\frac{5}{9}\) × 3\(\frac{1}{2}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{14}{9}\) × \(\frac{7}{2}\)
Multiply the fractions.
\(\frac{14 \times 7}{9 \times 2}\) = \(\frac{98}{18}\)
Write the answer in simplest form.
\(\frac{49}{9}\) = 5\(\frac{4}{9}\)
d. 6\(\frac{2}{3}\) × 2\(\frac{1}{9}\) = ________________
Answer:
14\(\frac{2}{27}\)
Explanation:
Given,
6\(\frac{2}{3}\) × 2\(\frac{1}{9}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{20}{3}\) × \(\frac{19}{9}\)
Multiply the fractions.
\(\frac{20 \times 19}{3 \times 9}\) = \(\frac{380}{27}\)
Write the answer in simplest form.
14\(\frac{2}{27}\)
Question 3.
a. 5\(\frac{3}{5}\) × 2\(\frac{1}{4}\) = ________________
Answer:
12\(\frac{3}{5}\)
Explanation:
Given,
5\(\frac{3}{5}\) × 2\(\frac{1}{4}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{28}{5}\) × \(\frac{9}{4}\)
Multiply the fractions.
\(\frac{28 \times 9}{5 \times 4}\) = \(\frac{252}{20}\)
Write the answer in simplest form.
\(\frac{63}{5}\) = 12\(\frac{3}{5}\)
b. 6\(\frac{1}{3}\) × 1\(\frac{2}{5}\) = ________________
Answer:
8\(\frac{13}{15}\)
Explanation:
Given,
6\(\frac{1}{3}\) × 1\(\frac{2}{5}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{19}{3}\) × \(\frac{7}{5}\)
Multiply the fractions.
\(\frac{19 \times 7}{3 \times 5}\) = \(\frac{133}{15}\)
Write the answer in simplest form.
8\(\frac{13}{15}\)
c. 9\(\frac{1}{2}\) × 2\(\frac{2}{7}\) = ________________
Answer:
21\(\frac{5}{7}\)
Explanation:
Given,
9\(\frac{1}{2}\) × 2\(\frac{2}{7}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{19}{2}\) × \(\frac{16}{7}\)
Multiply the fractions.
\(\frac{19 \times 16}{2 \times 7}\) = \(\frac{304}{14}\)
Write the answer in simplest form.
\(\frac{152}{7}\) = 21\(\frac{5}{7}\)
d. 2\(\frac{6}{7}\) × 5\(\frac{1}{7}\) = ________________
Answer:
14\(\frac{34}{49}\)
Explanation:
Given,
2\(\frac{6}{7}\) × 5\(\frac{1}{7}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{20}{7}\) × \(\frac{36}{7}\)
Multiply the fractions.
\(\frac{20 \times 36}{7 \times 7}\) = \(\frac{720}{49}\)
Write the answer in simplest form.
14\(\frac{34}{49}\)
Question 4.
a. 8\(\frac{1}{6}\) × 2\(\frac{1}{2}\) = ________________
Answer:
20\(\frac{5}{12}\)
Explanation:
Given,
8\(\frac{1}{6}\) × 2\(\frac{1}{2}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{49}{6}\) × \(\frac{5}{2}\)
Multiply the fractions.
\(\frac{49 \times 5}{6 \times 2}\) = \(\frac{245}{12}\)
Write the answer in simplest form.
20\(\frac{5}{12}\)
b. 3\(\frac{1}{8}\) × 1\(\frac{5}{8}\) = ________________
Answer:
5\(\frac{5}{64}\)
Explanation:
Given,
3\(\frac{1}{8}\) × 1\(\frac{5}{8}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{25}{8}\) × \(\frac{13}{8}\)
Multiply the fractions.
\(\frac{25 \times 13}{8 \times 8}\) = \(\frac{325}{64}\)
Write the answer in simplest form.
5\(\frac{5}{64}\)
c. 7\(\frac{1}{2}\) × 1\(\frac{1}{5}\) = ________________
Answer:
9
Explanation:
Given,
7\(\frac{1}{2}\) × 1\(\frac{1}{5}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{15}{2}\) × \(\frac{6}{5}\)
Multiply the fractions.
\(\frac{15 \times 6}{2 \times 5}\) = \(\frac{90}{10}\) = 9
d. 3\(\frac{5}{6}\) × 3\(\frac{1}{5}\) = ________________
Answer:
12\(\frac{4}{15}\)
Explanation:
Given,
3\(\frac{5}{6}\) × 3\(\frac{1}{5}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{23}{6}\) × \(\frac{16}{5}\)
Multiply the fractions.
\(\frac{23 \times 16}{6 \times 5}\) = \(\frac{368}{30}\)
Write the answer in simplest form.
\(\frac{184}{15}\) = 12\(\frac{4}{15}\)
Question 5.
a. 1\(\frac{7}{12}\) × 2\(\frac{5}{6}\) = ________________
Answer:
4\(\frac{35}{72}\)
Explanation:
Given,
1\(\frac{7}{12}\) × 2\(\frac{5}{6}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{19}{12}\) × \(\frac{17}{6}\)
Multiply the fractions.
\(\frac{19 \times 17}{12 \times 6}\) = \(\frac{228}{72}\)
Write the answer in simplest form.
4\(\frac{35}{72}\)
b. 2\(\frac{1}{6}\) × 7\(\frac{1}{2}\) = ________________
Answer:
16\(\frac{1}{4}\)
Explanation:
Given,
2\(\frac{1}{6}\) × 7\(\frac{1}{2}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{13}{6}\) × \(\frac{15}{2}\)
Multiply the fractions.
\(\frac{13 \times 15}{6 \times 2}\) = \(\frac{195}{12}\)
Write the answer in simplest form.
\(\frac{65}{4}\) = 16\(\frac{1}{4}\)
c. 2\(\frac{1}{8}\) × 3\(\frac{1}{4}\) = ________________
Answer:
6\(\frac{29}{32}\)
Explanation:
Given,
2\(\frac{1}{8}\) × 3\(\frac{1}{4}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{17}{8}\) × \(\frac{13}{4}\)
Multiply the fractions.
\(\frac{17 \times 13}{8 \times 4}\) = \(\frac{221}{32}\)
Write the answer in simplest form.
6\(\frac{29}{32}\)
d. 8\(\frac{2}{3}\) × 4\(\frac{1}{2}\) = ________________
Answer:
39
Explanation:
Given,
8\(\frac{2}{3}\) × 4\(\frac{1}{2}\)
Rewrite the mixed numbers as improper fractions.
\(\frac{26}{3}\) × \(\frac{9}{2}\)
Multiply the fractions.
\(\frac{26 \times 9}{3 \times 2}\) = \(\frac{234}{6}\) = 39