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Answer :
Sure! Let's fill in the blanks for each fraction by determining the number that makes the two fractions equivalent:
1) [tex]\(\frac{5}{11} = \frac{10}{22}\)[/tex]
This fraction is already filled in correctly, as [tex]\( \frac{5}{11} = \frac{10}{22} \)[/tex].
2) [tex]\(\frac{1}{2} = \frac{3}{6}\)[/tex]
This fraction is correct since [tex]\( \frac{1}{2} = \frac{3}{6} \)[/tex].
3) [tex]\(\frac{1}{8} = \frac{5}{40}\)[/tex]
This fraction is correct because [tex]\( \frac{1}{8} = \frac{5}{40} \)[/tex].
6) [tex]\(\frac{3}{4} = \frac{6}{8}\)[/tex]
This fraction is correctly filled as [tex]\( \frac{3}{4} = \frac{6}{8} \)[/tex].
7) [tex]\(\frac{2}{7} = \frac{4}{14}\)[/tex]
This one is correct as [tex]\( \frac{2}{7} = \frac{4}{14} \)[/tex].
8) [tex]\(\frac{9}{10} = \frac{27}{30}\)[/tex]
This fraction is correct because [tex]\( \frac{9}{10} = \frac{27}{30} \)[/tex].
11) [tex]\(\frac{3}{11} = \frac{6}{22}\)[/tex]
This fraction is correct since [tex]\( \frac{3}{11} = \frac{6}{22} \)[/tex].
12) [tex]\(\frac{2}{5} = \frac{10}{}\)[/tex]
To find the missing denominator, we keep the fractions equivalent. Let’s set up the proportion:
[tex]\[
\frac{2}{5} = \frac{10}{x}
\][/tex]
To find [tex]\(x\)[/tex], multiply the second fraction’s numerator by the first fraction’s denominator and divide by the first fraction’s numerator:
[tex]\[
x = \frac{10 \times 5}{2} = 25
\][/tex]
So, the completed fraction is [tex]\(\frac{2}{5} = \frac{10}{25}\)[/tex].
13) [tex]\(\frac{7}{12} = \frac{21}{36}\)[/tex]
This fraction is already filled in correctly, as [tex]\( \frac{7}{12} = \frac{21}{36} \)[/tex].
Each fraction has been reviewed to ensure they are equivalent, and any necessary blanks were filled based on the equivalence of the given fractions.
1) [tex]\(\frac{5}{11} = \frac{10}{22}\)[/tex]
This fraction is already filled in correctly, as [tex]\( \frac{5}{11} = \frac{10}{22} \)[/tex].
2) [tex]\(\frac{1}{2} = \frac{3}{6}\)[/tex]
This fraction is correct since [tex]\( \frac{1}{2} = \frac{3}{6} \)[/tex].
3) [tex]\(\frac{1}{8} = \frac{5}{40}\)[/tex]
This fraction is correct because [tex]\( \frac{1}{8} = \frac{5}{40} \)[/tex].
6) [tex]\(\frac{3}{4} = \frac{6}{8}\)[/tex]
This fraction is correctly filled as [tex]\( \frac{3}{4} = \frac{6}{8} \)[/tex].
7) [tex]\(\frac{2}{7} = \frac{4}{14}\)[/tex]
This one is correct as [tex]\( \frac{2}{7} = \frac{4}{14} \)[/tex].
8) [tex]\(\frac{9}{10} = \frac{27}{30}\)[/tex]
This fraction is correct because [tex]\( \frac{9}{10} = \frac{27}{30} \)[/tex].
11) [tex]\(\frac{3}{11} = \frac{6}{22}\)[/tex]
This fraction is correct since [tex]\( \frac{3}{11} = \frac{6}{22} \)[/tex].
12) [tex]\(\frac{2}{5} = \frac{10}{}\)[/tex]
To find the missing denominator, we keep the fractions equivalent. Let’s set up the proportion:
[tex]\[
\frac{2}{5} = \frac{10}{x}
\][/tex]
To find [tex]\(x\)[/tex], multiply the second fraction’s numerator by the first fraction’s denominator and divide by the first fraction’s numerator:
[tex]\[
x = \frac{10 \times 5}{2} = 25
\][/tex]
So, the completed fraction is [tex]\(\frac{2}{5} = \frac{10}{25}\)[/tex].
13) [tex]\(\frac{7}{12} = \frac{21}{36}\)[/tex]
This fraction is already filled in correctly, as [tex]\( \frac{7}{12} = \frac{21}{36} \)[/tex].
Each fraction has been reviewed to ensure they are equivalent, and any necessary blanks were filled based on the equivalence of the given fractions.
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