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Answer :
To find out how much more of the list Bob called than Ed, we need to compare the fractions [tex]\(\frac{4}{7}\)[/tex] and [tex]\(\frac{3}{10}\)[/tex]. Here's how you can find out the difference:
1. Find a Common Denominator:
The first step is to convert both fractions to have a common denominator, which can be done using cross-multiplication. Here, the common denominator is [tex]\(7 \times 10 = 70\)[/tex].
2. Convert Each Fraction:
- Convert Bob's fraction [tex]\(\frac{4}{7}\)[/tex] to have a denominator of 70:
[tex]\[
\frac{4}{7} \times \frac{10}{10} = \frac{40}{70}
\][/tex]
- Convert Ed's fraction [tex]\(\frac{3}{10}\)[/tex] to have a denominator of 70:
[tex]\[
\frac{3}{10} \times \frac{7}{7} = \frac{21}{70}
\][/tex]
3. Calculate the Difference:
Now, subtract Ed's fraction from Bob's fraction to find the difference:
[tex]\[
\frac{40}{70} - \frac{21}{70} = \frac{19}{70}
\][/tex]
4. Interpret the Result:
The difference, [tex]\(\frac{19}{70}\)[/tex], represents how much more of the list Bob called compared to Ed.
Therefore, Bob called [tex]\(\frac{19}{70}\)[/tex] more of the list than Ed.
1. Find a Common Denominator:
The first step is to convert both fractions to have a common denominator, which can be done using cross-multiplication. Here, the common denominator is [tex]\(7 \times 10 = 70\)[/tex].
2. Convert Each Fraction:
- Convert Bob's fraction [tex]\(\frac{4}{7}\)[/tex] to have a denominator of 70:
[tex]\[
\frac{4}{7} \times \frac{10}{10} = \frac{40}{70}
\][/tex]
- Convert Ed's fraction [tex]\(\frac{3}{10}\)[/tex] to have a denominator of 70:
[tex]\[
\frac{3}{10} \times \frac{7}{7} = \frac{21}{70}
\][/tex]
3. Calculate the Difference:
Now, subtract Ed's fraction from Bob's fraction to find the difference:
[tex]\[
\frac{40}{70} - \frac{21}{70} = \frac{19}{70}
\][/tex]
4. Interpret the Result:
The difference, [tex]\(\frac{19}{70}\)[/tex], represents how much more of the list Bob called compared to Ed.
Therefore, Bob called [tex]\(\frac{19}{70}\)[/tex] more of the list than Ed.
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