easy right

Algebra Level pending

3 × 5 9 × 11 × 7 × 9 × 11 3 × 5 × 7 = \frac{3\times 5}{9\times 11}\times \frac{7\times 9\times 11}{3\times 5\times 7}=

1 1 0 0 50 50 1 49 \frac{1}{49}

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Ikhwan Norazam
Oct 15, 2018

We could go at it by just multiplying it out, dividing, etc, but there is a much more simple method.

Noticing that multiplying and dividing by the same number is the equivalent of multiplying (or dividing) by 1 1 , we can rearrange the numbers in the numerator and the denominator (commutative property of multiplication) so that it looks like 3 3 × 5 5 × 7 7 × 9 9 × 11 11 \frac{3}{3} \times \frac{5}{5} \times \frac{7}{7} \times \frac{9}{9} \times \frac{11}{11} Notice that each number is still there, and nothing has been changed - other than the order.

Finally, since all of the fractions are equal to one, we have 1 × 1 × 1 × 1 × 1 1\times1\times1\times1\times1 , which is equal to 1 1 .

Thus, 1 \boxed{\text{1}} is the answer.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...