Question

Use fraction models to solve two and three sevenths plus three and two fourths equals blank.

Answer 1

Answer:

Five and twenty six twenty eighths.

Step-by-step explanation:

Start with writing the fractions in numbers:

$2\frac{3}{7} +3\frac{2}{4}$

The 2 next to the first fraction is considered a whole number therefore we can say:

$\frac{2}{1} *\frac{7}{7} =\frac{14}{7}$ then,  $\frac{14}{7} + \frac{3}{7} =\frac{17}{7}$

$2\frac{3}{7} =\frac{17}{7}$

The 3 is also considered a whole number therefore:

$\frac{3}{1} *\frac{4}{4} =\frac{12}{4}$ then, $\frac{12}{4} +\frac{2}{4} =\frac{14}{4}$

$3\frac{2}{4} =\frac{14}{4}$

We got our 2 fractions without whole numbers now which makes it easier to add them up however they have different denominators meaning we can't add them.

$\frac{17}{7} +\frac{14}{4}$ not possible to add up.

We have to find a common factor, we will do this by looking at our times tables and realizing that 7x4= 28 and 4*7= 28. This will ensure both dominators are the same.

$\frac{17}{7} *\frac{4}{4} =\frac{68}{28}$

$\frac{14}{4} *\frac{7}{7} =\frac{98}{28}$

Now we got both fractions with equal denominators which means we can add them up as you would with normal numbers:

$\frac{68}{28} +\frac{98}{28} =\frac{166}{28}$

We need to make sure to simplify the resultant fraction now, we know that 28*5= 140 and 28*6= 168, we will use 5 as our whole unit since it fits (168 is greater than 166 therefore we can't use that):

$\frac{166}{28} =5\frac{26}{28}$ (this is the answer on the answer choices)

Now just simplify 26 over 28:

$5\frac{26}{28}=5\frac{13}{14}$

This gives us our final answer of 5 and thirteen fourteenths however judging from the answer choices our answer will be five and twenty six twenty eighths.