Question

Decide whether each expression or fraction shows another way to write 3 Choose True or False for each expression or fraction. 3+ True False 15+ True 0 False 19 5 True False 7 5 를 O True O False ] 55+ 8 + 8 + + True 0 False

Answer 1

Step-by-step explanation:

Given the below mixed fraction;

`3(4)/(5)`

We can also express it as an improper fraction by multiplying the whole number by the denominator and adding the result to the numerator. We'll have;

`3(4)/(5)=(19)/(5)`

Let's go ahead and simplify each of the given expressions or fractions in order to decide which of them is the same as the above fraction.

1. For the 1st expression;

`\begin{gathered} 3+(4)/(5)=(15+4)/(5)=(19)/(5) \\ \end{gathered}`

From the above, we can see that the given expression is the same as our above fraction, so we'll choose ''True''

2. For the 2nd expression;

`(15)/(5)+(4)/(5)=(15+4)/(5)=(19)/(5)`

From the above, we can also see that the given expression is the same as our above fraction, so we'll choose ''True''

3. The fraction 19/5 is the same as the improper fraction we had above, so we'll choose ''True''

4. The fraction 3 4/5 or 19/5 can not be reduced to 7/5, so we'll choose "False" here

5. For the 5th expression;

`(5)/(5)+(5)/(5)+(5)/(5)+(4)/(5)=1+1+1+(4)/(5)=3+(4)/(5)=(15+4)/(5)=(19)/(5)`

From the above, we can also see that the given expression is the same as our above fraction, so we'll choose ''True''