Answered

Three students were scheduled to give book reports in 1 hour.


After the first report, 2/3 hour remained (HINT: this means the first persons' report was 1/3 of an hour)


The next report took 1/6 hour. What fraction remained?



Answer :

theleangreenbean

Subtracting Fractions

When we add or subtract fractions, we always have to make sure that all the fractions involved have a common denominator.

Solving the Question

We're given:

  • After the first report, [tex]\dfrac{2}{3}[/tex] hours remained
  • The second report took [tex]\dfrac{1}{6}[/tex] hours remained

To find the fraction representing the remaining time, subtract [tex]\dfrac{1}{6}[/tex] from [tex]\dfrac{2}{3}[/tex]:

[tex]\dfrac{2}{3}-\dfrac{1}{6}[/tex]

⇒ Make both denominators the same; multiply [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{2}[/tex] to change its denominator to 6:

[tex]= \dfrac{4}{6}-\dfrac{1}{6}\\\\= \dfrac{3}{6}[/tex]

⇒ Simplify the fraction:

[tex]= \dfrac{1}{2}[/tex]

Therefore, [tex]\dfrac{1}{2}[/tex] the hour remained.

Answer

[tex]\dfrac{1}{2}[/tex] the hour remained

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