Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it in fraction form)

No, it won't

Step-by-step explanation:

Given

Required

Will the pin fit into the reamed hole?

For the pin to fit into the reamed hole, the diameter has to be smaller than that of the reamed hole.

In other words;

The pin will fit in if it satisfies the following condition

Convert decimal to fraction

Simplify fraction to lowest term

Take LCM

This doesn't satisfy the condition

Because

So, we can conclude that the Pin will not fit into the reamed hole

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are