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8090 [49]
3 years ago
9

The number 5/3 can be best described as a(n) _____. proper fraction improper fraction mixed number

Mathematics
2 answers:
Ainat [17]3 years ago
7 0

Answer:

A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.

Therefore your answer is the second option "improper fraction."

Hope this helps!

inn [45]3 years ago
5 0

Jonathanpalafox67,

In order to get your answer you must first know what each of the options are.

A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.

  • \frac{5}{3}
  • 5 > 3

Therefore your answer is the second option "improper fraction."

Hope this helps!

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The sum of the fractions 2/y-3 and 6/y+3 is equal to their
Sphinxa [80]

Step-by-step explanation:

Move expression to the left side and change its sign

5

y

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y

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Write

−

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as a sum or difference

5

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−

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5

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+

10

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(

y

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)

−

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(

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)

−

y

y

+

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Factor out

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2

from the expression

5

y

−

3

+

10

(

y

+

2

)

(

y

−

3

)

−

y

y

+

2

=

0

Write all numerators above the least common denominator

5

(

y

+

2

)

+

10

−

y

(

y

−

3

)

(

y

+

2

)

(

y

−

3

)

=

0

Distribute

5

and

−

y

through the parenthesis

5

y

+

10

+

10

−

y

2

+

3

y

(

y

+

2

)

(

y

−

3

)

=

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Collect the like terms

8

y

+

20

−

y

2

(

y

+

2

)

(

y

−

3

)

=

0

Use the commutative property to reorder the terms

−

y

2

+

8

y

+

20

(

y

+

2

)

(

y

−

3

)

=

0

Write

8

y

as a sum or difference

−

y

2

+

10

y

−

2

y

+

20

(

y

+

2

)

(

y

−

3

)

=

0

Factor out

−

y

and

−

2

from the expression

−

y

(

y

−

10

)

−

2

(

y

−

10

)

(

y

+

2

)

(

y

−

3

)

=

0

Factor out

−

(

y

−

10

)

from the expression

−

(

y

−

10

)

(

y

+

2

)

(

y

+

2

)

(

y

−

3

)

=

0

Reduce the fraction with

y

+

2

−

y

−

10

y

−

3

=

0

Determine the sign of the fraction

−

y

−

10

y

−

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=

0

Simplify

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−

y

y

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When the quotient of expressions equals

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Move the constant,

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−

y

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Change the signs on both sides of the equation

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∴

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