Karim is super excited about learning of equivalent fractions! He shows his mom that 45×3=1215 Has Karim express his thinking correctly? If not, how can you show him the arithmetic correctly (and explain it thoroughly), and then also show him what is actually physically happening when he creates these equivalent fractions (make sure to connect any different representations you use to explain)?

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Karim is super excited about learning of equivalent fractions! He shows his mom that  45×3=1215  Has Karim express his thinking correctly? If not, how can you show him the arithmetic correctly (and explain it thoroughly), and then also show him what is actually physically happening when he creates these equivalent fractions (make sure to connect any different representations you use to explain)?

StrycharzT · Accepted Answer

Step 1Equivalent fractions are the fractions which upon getting simplified result in equal simple fraction such that the numerator and denominator don’t have any other common factor except 1.Step 2Solution with explanationNo, Karim has not expressed his thinking correctly. The multiplication of 45 with 3 will result in 125. He should have shown it by multiplying the fraction 45 by 33 as 33=1 and multiplying 1 with any number is the number itself.Here is the detailed process of how to make equivalent fraction. Let&#039;s take an example where we need to find two equivalent fractions of 5757=57×1=57=57×1 Since 1=22=1014Therefore, 1014 is an equivalent fraction of 57. We just multiplied a fraction that has equal numerator and denominator (in this case 22).Now, try one more time with another such fraction that has equal numerator and denominator and multiply it by the given fraction, 57.We take 44So,=57×44, Since 1=44=2028Therefore, 1014 and 2028 are the equivalent fractions of 57. You can cross check it by simplifying both 1014 and 2028. Both fractions will get simlified to 57.

Karim is super excited about learning of equivalent fractions! He shows his mom

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