Simplify. Your answer should be in lowest terms.
-$$2 \frac { 1 } { 4 } + 1 \frac { 3 } { 7 }$$

A) $9 \frac { 4 } { 11 }$

B) $3 \frac { 19 } { 28 }$

C) $\frac { 19 } { 28 }$

D) $1 \frac { 8 } { 11 }$

Question

Simplify. Your answer should be in lowest terms.
-$$2 \frac { 1 } { 4 } + 1 \frac { 3 } { 7 }$$

A) $9 \frac { 4 } { 11 }$

B) $3 \frac { 19 } { 28 }$

C) $\frac { 19 } { 28 }$

D) $1 \frac { 8 } { 11 }$

Quizplus · Accepted Answer

We first convert the mixed numbers to improper fractions:

$$2 \frac { 1 } { 4 } = \frac { 9 } { 4 }$$
$$1 \frac { 3 } { 7 } = \frac { 10 } { 7 }$$

Then, we can add the fractions:

$$\frac { 9 } { 4 } + \frac { 10 } { 7 } = \frac { 63 } { 28 } + \frac { 40 } { 28 } = \frac { 103 } { 28 }$$

Finally, we convert the improper fraction back to a mixed number in lowest terms:

$$\frac{103}{28}=3\frac{19}{28}$$

Therefore, the answer is B.

Simplify Your Answer Should Be in Lowest Terms 214+1372 \frac { 1 } { 4 } + 1 \frac { 3 } { 7 }241​+173​