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Mathematics

Grade5

Easy

Question

Katy jogged $5 fraction numerator 2 over denominator 3 end fraction$ kilometers on Tuesday and $4 fraction numerator 2 over denominator 9 end fraction$ kilometers on Wednesday. The difference between these distances?

$9 \frac{5}{9}$ km
$10 \frac{8}{9}$ km
$9 \frac{8}{9}$ km
$9 \frac{7}{9}$ km

hint Hint:

1.First convert the mixed fraction into improper fraction.
2.Then find the LCM of the denominators.
3.Divide the LCM with each of the denominators and multiply the quotient with the respective numerators.
4.Then add the fractions.
5.Then convert the improper fraction to mixed fraction.

The correct answer is: $9 fraction numerator 8 over denominator 9 end fraction$ km

Step 1:
Distance jogged on Tuesday = $5 fraction numerator 2 over denominator 3 end fraction$ km
Distance jogged on Wednesday = $4 fraction numerator 2 over denominator 9 end fraction$ km
Step 2:
Total distance jogged = $5 fraction numerator 2 over denominator 3 end fraction plus 4 fraction numerator 2 over denominator 9 end fraction$
$equals fraction numerator 17 over denominator 3 end fraction plus fraction numerator 38 over denominator 9 end fraction equals fraction numerator 51 over denominator 9 end fraction plus fraction numerator 38 over denominator 9 end fraction$
$equals fraction numerator 89 over denominator 9 end fraction equals 9 fraction numerator 8 over denominator 9 end fraction blank k m$

Avoid making any calculation error or conversion errors.

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