Respuesta :
Answer:
Ron walked a total of 8 1/12 km
Step-by-step explanation:
Answer:
[tex]8\frac{1}{12} \; km[/tex]
Step-by-step explanation:
Distance walked by Ron on Monday = [tex]3\frac{3}{4} \; km[/tex]
Distance walked by Ron on Wednesday = [tex]4\frac{1}{3} \; km[/tex]
Now we will convert the given mixed fractions into improper fractions.
As we know that, a mixed fraction is composed of a whole number and a proper fraction.
Now,.
[tex]3\frac{3}{4} =\frac{3\times4+3}{4}=\frac{15}{4}[/tex]
[tex]4\frac{1}{3} =\frac{4\times3+1}{3} =\frac{13}{3}[/tex]
So, distance walked by Ron on Monday = [tex]\frac{15}{4}\; km[/tex]
Distance walked by Ron on Wednesday = [tex]\frac{13}{3} \; km[/tex]
Now, to find the total distance walked by Ron, we will add the distances walked by him on Monday and Wednesday.
So,
[tex]3\frac{3}{4} +4\frac{1}{3} =\frac{15}{4}+ \frac{13}{3}[/tex]
Now, we will find the LCM of the denominators of the given fractions.
The prime factorisation of 4 and 3 is,
4 = 2 × 2
3 = 3
So, LCM (3, 4) = 2 × 2 × 3 = 12
Now, we will convert each of the given fractions into their equivalent fractions with denominator 12.
[tex]\frac{15}{4}=\frac{15\times3}{4\times3}=\frac{45}{12}[/tex]
[tex]\frac{13}{3}=\frac{13\times4}{3\times4}=\frac{52}{12}[/tex]
So,
[tex]\frac{15}{4}+\frac{13}{3}=\frac{45}{12} +\frac{52}{12}=\frac{45+52}{12}=\frac{97}{12}[/tex]
Now, we will convert [tex]\frac{97}{12}[/tex] into improper fraction.
Now, 97 = 96 + 1 = 12 × 8 + 1
So, when '97' is divided by '12', then we get '8' as the quotient and '1' as the remainder.
So,
[tex]\frac{97}{12} = 8\frac{1}{12}[/tex]
Hence, Ron walked a total distance of [tex]8\frac{1}{12}[/tex] km in both the days.
