Question 19: please help. I will give brainliest to correct answer.

Mathematics

1 answer:

Zina [86]2 years ago

8 0

Answer:

option 2

Step-by-step explanation:

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Simplify the following fraction (9/16/1/4)-1/5

german

Answer: $\frac{41}{20}$

Step-by-step explanation:

The first step is to make the division of the fractions $\frac{9}{16}$ and

$\frac{1}{4}$ . To do this, you can flip the fraction $\frac{1}{4}$ over and multiply the numerators and the denominators of the fractions. Then:

$(\frac{\frac{9}{16}}{\frac{1}{4}})-\frac{1}{5}=(\frac{9}{16}*4)-\frac{1}{5}=\frac{36}{16}-\frac{1}{5}$

Reduce the fraction $\frac{36}{16}$ :

$=\frac{9}{4}-\frac{1}{5}$

Now you can make the subtraction: in this case the Least Common Denominator (LCD) will be the multiplication of the denominators. Divide each denominator by the LCD and multiply this quotient by the corresponding numerator and then subtract the products. Therefore you get:

$=\frac{45-4}{20}=\frac{41}{20}$