Simplify.
-$\frac { 3 } { 8 } \cdot \frac { 4 } { 7 } + \frac { 3 } { 7 } \cdot \frac { 3 } { 7 }$

A) $\frac { 39 } { 98 }$

B) $\frac { 52 } { 21 }$

C) $\frac { 94 } { 105 }$

D) $\frac { 39 } { 49 }$

Question

Simplify.
-$\frac { 3 } { 8 } \cdot \frac { 4 } { 7 } + \frac { 3 } { 7 } \cdot \frac { 3 } { 7 }$

A) $\frac { 39 } { 98 }$

B) $\frac { 52 } { 21 }$

C) $\frac { 94 } { 105 }$

D) $\frac { 39 } { 49 }$

Quizplus · Accepted Answer

We can simplify both fractions by finding the greatest common factor (GCF) of their numerators and denominators. For the first fraction, the GCF is 1, and for the second fraction, the GCF is 9. Simplifying, we get:
$$\frac{3}{8} \cdot \frac{4}{7} + \frac{3}{7}\cdot \frac{3}{7} = \frac{3\cdot4}{8\cdot7} + \frac{3\cdot3}{7\cdot7} = \frac{12}{56} + \frac{9}{49}$$
Now we need to find a common denominator and add the fractions:
$$\frac{12}{56} + \frac{9}{49} = \frac{12\cdot7}{56\cdot7} + \frac{9\cdot8}{49\cdot8} = \frac{84}{392} + \frac{72}{392} = \frac{156}{392}$$
Finally, we can simplify by dividing both the numerator and denominator by their GCF, which is 4:
$$\frac{156}{392} = \frac{39}{98}$$
So the answer is choice A, $\frac{39}{98}$.

Simplify - 38⋅47+37⋅37\frac { 3 } { 8 } \cdot \frac { 4 } { 7 } + \frac { 3 } { 7 } \cdot \frac { 3 } { 7 }83​⋅74​+73​⋅73​

Simplify
- $\frac { 3 } { 8 } \cdot \frac { 4 } { 7 } + \frac { 3 } { 7 } \cdot \frac { 3 } { 7 }$