Respuesta :
Answer: He did not convert the fractions into the like fraction to add.
Step-by-step explanation:
Given: The distance Jonah runs on Sunday= [tex]\frac{3}{5}[/tex] miles
The distance Jonah runs on Monday= [tex]\frac{7}{10}[/tex] miles
The total distance he ran = [tex]\frac{3}{5}+\frac{7}{10}\ miles[/tex]
Since both the fractions are not like , thus multiply 2 to the numerator and the denominator of the first fraction [to add fractions first convert them into like fractions], we get
The total distance he ran = [tex]\frac{3\times2}{5\times2}+\frac{7}{10}\ miles[/tex]
[tex]=\frac{6}{10}+\frac{7}{10}=\frac{6+7}{10}\\\\=\frac{13}{10}=1\frac{3}{10}\ miles[/tex]
The right answer is "The total distance he ran =[tex]1\frac{3}{10}\ miles[/tex]"
The mistake Jonah made in using the model to calculate the distance is omission of 0.3 mile.
Total distance covered by Jonah
The total distance traveled by Jonah is calculated as follows;
d = 3/5 + 7/10
d = (6 + 7)/10
d = 13/10
d = 1 3/10
d = 1.3 miles
Error in Jonah's calculation
error = 1.3 miles - 1 mile = 0.3 mile
Thus, the mistake Jonah made in using the model to calculate the distance is omission of 0.3 mile.
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