At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
To match each fraction from the left column to an equivalent fraction in the right column, we can follow these steps:
1. Convert each mixed number to an improper fraction in the left column:
- [tex]\( 2 \frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12} \)[/tex]
- [tex]\( 1 \frac{5}{12} = \frac{1 \times 12 + 5}{12} = \frac{17}{12} \)[/tex]
2. List the fractions in the left column:
- [tex]\( \frac{5}{12} \)[/tex]
- [tex]\( \frac{18}{12} \)[/tex]
- [tex]\( \frac{25}{12} \)[/tex]
- [tex]\( \frac{17}{12} \)[/tex]
3. List the fractions in the right column, including the mixed numbers converted to improper fractions:
- [tex]\( \frac{1}{2} \)[/tex]
- [tex]\( \frac{17}{12} \)[/tex]
- [tex]\( \frac{10}{24} = \frac{5}{12} \)[/tex]
- [tex]\( 1 \frac{1}{2} = \frac{1 \times 12 + 6}{12} = \frac{18}{12} \)[/tex]
- [tex]\( 1 \frac{1}{12} = \frac{1 \times 12 + 1}{12} = \frac{13}{12} \)[/tex]
- [tex]\( \frac{25}{12} \)[/tex]
4. Pair the equivalent fractions between the left and right columns:
- [tex]\( \frac{5}{12} \)[/tex] from the left column matches with [tex]\( \frac{10}{24} \)[/tex] from the right column because [tex]\( \frac{10}{24} = \frac{5}{12} \)[/tex], which is listed at position 3 in the right column.
- [tex]\( \frac{18}{12} \)[/tex] from the left column matches with [tex]\( 1 \frac{1}{2} \)[/tex] from the right column because [tex]\( 1 \frac{1}{2} = \frac{18}{12} \)[/tex], which is listed at position 4 in the right column.
- [tex]\( \frac{25}{12} \)[/tex] from the left column matches with [tex]\( \frac{25}{12} \)[/tex] from the right column, which is listed at position 6 in the right column.
- [tex]\( \frac{17}{12} \)[/tex] from the left column matches with [tex]\( \frac{17}{12} \)[/tex] from the right column, which is listed at position 2 in the right column.
So, the following matches are made:
- [tex]\( \frac{5}{12} \)[/tex] matches with the right column at position 3.
- [tex]\( \frac{18}{12} \)[/tex] matches with the right column at position 4.
- [tex]\( 2 \frac{1}{12} \)[/tex] matches with the right column at position 6.
- [tex]\( 1 \frac{5}{12} \)[/tex] matches with the right column at position 2.
These matches correspond to:
[tex]\[ [4, 6, 2] \][/tex]
Therefore, the equivalent fractions are:
[tex]\[ \frac{5}{12} \][/tex] matches with [tex]\(\frac{10}{24}\)[/tex] (Position 3),
[tex]\[ \frac{18}{12} \][/tex] matches with [tex]\(1\frac{1}{2}\)[/tex] (Position 4),
[tex]\[ 2\frac{1}{12} \][/tex] matches with [tex]\(\frac{25}{12}\)[/tex] (Position 6),
[tex]\[ 1\frac{5}{12} \][/tex] matches with [tex]\(\frac{17}{12}\)[/tex] (Position 2).
1. Convert each mixed number to an improper fraction in the left column:
- [tex]\( 2 \frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12} \)[/tex]
- [tex]\( 1 \frac{5}{12} = \frac{1 \times 12 + 5}{12} = \frac{17}{12} \)[/tex]
2. List the fractions in the left column:
- [tex]\( \frac{5}{12} \)[/tex]
- [tex]\( \frac{18}{12} \)[/tex]
- [tex]\( \frac{25}{12} \)[/tex]
- [tex]\( \frac{17}{12} \)[/tex]
3. List the fractions in the right column, including the mixed numbers converted to improper fractions:
- [tex]\( \frac{1}{2} \)[/tex]
- [tex]\( \frac{17}{12} \)[/tex]
- [tex]\( \frac{10}{24} = \frac{5}{12} \)[/tex]
- [tex]\( 1 \frac{1}{2} = \frac{1 \times 12 + 6}{12} = \frac{18}{12} \)[/tex]
- [tex]\( 1 \frac{1}{12} = \frac{1 \times 12 + 1}{12} = \frac{13}{12} \)[/tex]
- [tex]\( \frac{25}{12} \)[/tex]
4. Pair the equivalent fractions between the left and right columns:
- [tex]\( \frac{5}{12} \)[/tex] from the left column matches with [tex]\( \frac{10}{24} \)[/tex] from the right column because [tex]\( \frac{10}{24} = \frac{5}{12} \)[/tex], which is listed at position 3 in the right column.
- [tex]\( \frac{18}{12} \)[/tex] from the left column matches with [tex]\( 1 \frac{1}{2} \)[/tex] from the right column because [tex]\( 1 \frac{1}{2} = \frac{18}{12} \)[/tex], which is listed at position 4 in the right column.
- [tex]\( \frac{25}{12} \)[/tex] from the left column matches with [tex]\( \frac{25}{12} \)[/tex] from the right column, which is listed at position 6 in the right column.
- [tex]\( \frac{17}{12} \)[/tex] from the left column matches with [tex]\( \frac{17}{12} \)[/tex] from the right column, which is listed at position 2 in the right column.
So, the following matches are made:
- [tex]\( \frac{5}{12} \)[/tex] matches with the right column at position 3.
- [tex]\( \frac{18}{12} \)[/tex] matches with the right column at position 4.
- [tex]\( 2 \frac{1}{12} \)[/tex] matches with the right column at position 6.
- [tex]\( 1 \frac{5}{12} \)[/tex] matches with the right column at position 2.
These matches correspond to:
[tex]\[ [4, 6, 2] \][/tex]
Therefore, the equivalent fractions are:
[tex]\[ \frac{5}{12} \][/tex] matches with [tex]\(\frac{10}{24}\)[/tex] (Position 3),
[tex]\[ \frac{18}{12} \][/tex] matches with [tex]\(1\frac{1}{2}\)[/tex] (Position 4),
[tex]\[ 2\frac{1}{12} \][/tex] matches with [tex]\(\frac{25}{12}\)[/tex] (Position 6),
[tex]\[ 1\frac{5}{12} \][/tex] matches with [tex]\(\frac{17}{12}\)[/tex] (Position 2).
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
