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In order to simplify the resolution process, we begin by breaking down the number 74 into a smaller addition exercise with numbers divisible by 8:
We then divide each of the terms within the parentheses by 8:
We solve each of the exercises inside of the parentheses:
Lastly we reduce the numerator and the denominator of the fraction by 2:
\( 140-70= \)
Because 9×8=72, not 74! You're missing the remaining 2. In division, we must account for all parts of the dividend. The leftover becomes a fraction:
Look for multiples of your divisor near your dividend. Since 72 is close to 74 and divisible by 8, we can write 74 as 72+2 to make division easier.
Fractions should always be in simplest form. Since 2 and 8 share a common factor of 2, we divide both by 2:
Yes! Both forms are correct, but mixed numbers are often easier to understand for this type of problem.
That shouldn't happen in proper division! If your remainder is 8 or larger when dividing by 8, you can divide again. The remainder must always be smaller than the divisor.
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