3/4 over 3 1/4 simplified is?

Convert  

3

1

4

to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

3

+

1

4

−

1

3

4

Add  

3

and  

1

4

To write  

3

as a fraction with a common denominator, multiply by  

4

4

.

3

⋅

4

4

+

1

4

−

1

3

4

Combine  

3

and  

4

4

.

3

⋅

4

4

+

1

4

−

1

3

4

Combine the numerators over the common denominator.

3

⋅

4

+

1

4

−

1

3

4

Simplify the numerator.  

Multiply  

3

by  

4

.

12

+

1

4

−

1

3

4

Add  

12

and  

1

.

13

4

−

1

3

4

Convert  

1

3

4

to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

13

4

−

(

1

+

3

4

)

Add  

1

and  

3

4

.

13

4

−

7

4

Combine the numerators over the common denominator.

13

−

7

4

Subtract  

7

from  

13

.

6

4

Cancel the common factor of  

6

and  

4

.

Factor  

2

out of  

6

.

2

(

3

)

4

Cancel the common factors.

Factor  

2

out of  

4

.

2

⋅

3

2

⋅

2

Cancel the common factor.

2

⋅

3

2

⋅

2

Rewrite the expression.

3

2

The result can be shown in multiple forms.

Exact Form:

3

2

Decimal Form:

1.5

Mixed Number Form:

1

1

2

Step-by-step explanation:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

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