Answer:
[tex]1\frac{6}{49}[/tex] or [tex]\frac{55}{49}[/tex] or 1.12
Step-by-step explanation:
[tex]0.8+\frac{5}{7} * \frac{3}{7}[/tex]
First find 0.8 as a fraction
[tex]0.8 =\frac{8}{10} = \frac{4}{5}[/tex]
Now according to PEMDAS, we do the multiplication then addition, so we multiply the numerator then the denominator
[tex]\frac{5}{7} * \frac{3}{7} = \frac{15}{49}[/tex]
Since this answer cannot be simplified, now we move to addition and find the LCD (least common denominator) which would be 245 (49 x 5)
[tex]\frac{4}{5} +\frac{15}{49} = \frac{196}{245} +\frac{75}{245}[/tex]
Now we add the numerators
[tex]\frac{196}{245} +\frac{75}{245}=\frac{275}{245}[/tex]
Now we simplify as far down as we can, which would be by 5
[tex]\frac{275}{245} = \frac{55}{49}[/tex] or [tex]1\frac{6}{49}[/tex]
If the answer calls for a decimal, we would round to the hundredths
[tex]\frac{55}{49} = 1.12[/tex]
