Shannon walked 1 2/3 miles on Wednesday and 2 3/5 miles on Thursday. What was the total distance, in miles,Shannon walked during those 2 days?

Verified Answer :

First, add the integers to get 3. Then, add 2/3 and 3/5 by converting them into fifteenths, for a total of 19/15, or 1 4/15. Add these together to get 4 4/15 miles.

The total distance Shannon walked during those 2 days is  \(4\frac{4}{15}\) miles .

What is fraction?

A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

According to the question

Shannon walked on Wednesday in fraction  =  \(1\frac{2}{3}\) miles

                                                                          = \(\frac{5}{3}\) miles

Shannon walked on Thursday in fraction   = \(2 \frac{3}{5}\) miles  

                                                                       = \(\frac{13}{5}\) miles  

The total distance, in miles covered by Shannon  during those 2 days

= Shannon walked on Wednesday + Shannon walked on Thursday

=  \(\frac{5}{3}\)  +  \(\frac{13}{5}\)

Taking lcm of denominator 3 and 5 = 15

= \(\frac{25+39}{15}\)

= \(\frac{64}{15}\) miles  

= \(4\frac{4}{15}\) miles  

Hence, The total distance Shannon walked during those 2 days is  \(4\frac{4}{15}\) miles .

   

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