Question

fill in the blanks: a)11/16-----14/15
b)8/15-----95/14 c) 12/75-----32/200
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Answer 1

Answer:

a)<

b)<

c)=

Step-by-step explanation:

I hope you are clear if not just comment me Mark me as the brainiest.

Answer 2

a)11/16 < 14/15

b)8/15 < 95/14

c) 12/75 = 32/200

Step-by-step explanation:

Given:

a)11/16     14/15

b)8/15       95/14

c) 12/75      32/200

To find:

correct numerical sign

Solution:

A number is compared in cases and the signs used for this comparison are >, or <, or, =. These signs are read as greater than, less than, and equal to.

When two numbers, fractions, or decimals are compared these signs can be used to fill their nature.

In the examples, there are fractions compared

So we convert the decimal form of those fractions to find the greater/less number.

a) $\frac{11}{16}\ \&\ \frac{14}{15}$

The decimal form of the fractions $\frac{11}{16}$ is $0.6875$ & $\frac{14}{15}$ is $0.9333$

When we compare the decimal forms of the numbers we get that

0.9333 is greater than 0.6875

which is 14/15 & 11/16 fraction wise

∴ The sign will open the mouth towards the greater fraction 14/15

$\frac{11}{16}\ < \frac{14}{15}$

∴ 11/16 < 14/15

b) $\frac{8}{15}\ \&\ \frac{94}{14}$

Similarly, we get the decimal forms of the fraction

We get $\frac{8}{15}$ as $0.5333$ & $\frac{94}{14}$ as $6.714$

As we see, 6.714 is greater than 0.5333

which will be 94/14 & 8/14 in fraction form

∴ The sign will open towards the fraction 94/14

$\frac{8}{15}\ < \frac{94}{14}$

∴ 8/15 < 95/14

c) $\frac{12}{75}\ \&\ \frac{32}{200}$

The decimal forms of the fractions are 0.16 & 0.16 respectively.

Both the decimal forms are equal in values

So, the fractions will also be equal to each other

$\frac{12}{75}\ = \frac{32}{200}$

∴ 12/75 = 32/200

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