Question

Which statement correctly compares 11/20 an 5/9

Answer 1

Answer:

$\dfrac{11}{20}$

A is correct.

Step-by-step explanation:

Given: $\dfrac{11}{20}\text{ and }\dfrac{5}{9}$

We need to compare the two fraction.

We can compare either greater , less or equal.

If we compare two fraction. First we make their denominator same.

Denominators are 20 and 9

We will find the LCD of 20 and 9

20 = 2 x 2 x 5

9 = 3 x 3

LCD = 2 x 2 x 3 x 3 x 5 = 180

$\text{First Fraction}\rightarrow \dfrac{11\times 9}{20\times 9}\Rightarrow \dfrac{99}{180}$

$\text{Second Fraction}\rightarrow \dfrac{5\times 20}{9\times 20}\Rightarrow \dfrac{100}{180}$

Now, we can see their denominator are same.

We will compare the numerator.

99<100

Thus,

$\dfrac{99}{180}$

$\dfrac{11}{20}$

Hence, $\dfrac{11}{20}$ correct.

Answer 2

$\frac{11}{20} =\frac{11 \times 9}{20 \times 9}=\frac{99}{180} \\ \\ \frac{5}{9}=\frac{5 \times 20}{9 \times 20}=\frac{100}{180} \\ \\ 99$