Video Transcript
Calculate 25 multiplied by one-sixth multiplied by 0.08. Give your answer as a fraction in its simplest form.
As we need to give our answer as a fraction, we need to start by writing all three of the terms as fractions. Any integer can be written as a fraction, as the integer value over one. Therefore, 25 is the same as 25 over one. 0.08 written as a fraction is eight over 100 or eight one hundredths. The calculation can therefore be rewritten as 25 over one multiplied by one over six multiplied by eight over 100. The fraction eight over 100 can be simplified by dividing the numerator and denominator by four. Eight divided by four is equal to two. 100 divided by four is equal to 25. Therefore, eight over 100 is the same as two over 25. The calculation simplifies to 25 over one multiplied by one over six multiplied by two over 25.
We could at this point multiply the three numerators and, separately, the three denominators. However, it is easier to cross cancel or cross simplify at this stage. There is a 25 on the top and the bottom, so we can divide both of these by 25. We can also divide the two on the top and the six on the bottom by two. Two divided by two is equal to one. And, six divided by two is equal to three. We’re left with three ones on the top, and a one, a three, and a one on the bottom. One multiplied by one multiplied by one is equal to one. And, one multiplied by three multiplied by one is equal to three. This means that the fraction in its simplest form is one-third. 25 multiplied by one-sixth multiplied by 0.08 is equal to one-third.
