What is the sum of the fractions? Use the number line to help find the answer. 3/5 + ( - 7/5) Answers: Wh Three-fifths + (Negative StartFraction 7 over 5 EndFraction A number line going from negative 2 to positive 2 in increments of one-fifth. Negative 2 Negative four-fifths Four-fifths 2

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Answer:

[tex]\frac{-4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} - \frac{7}{5} = \frac{3-7}{5} = \frac{-4}{5}[/tex]

The sum of the fractions is -4/5.

What is a number line?

The real numbers arranged in order on a geometric line form a number line. The points on the geometric line represent real numbers.

On the number line, the addition of a positive number a to a number b moves the point at b to the right by a units.

The addition of a negative number -a to a number b moves the point at b by a units to the left.

The point H in the diagram is at the number 3/5, third stick to the right of 0.

Adding -7/5 to 3/5 means moving the point H to the left by 7 sticks. Doing so we find the point at -4/5 as shown in the figure.

The final position of the point after addition is -4/5.

The value of 3/5 - 7/5 is, thus, -4/5.

Learn more about number line here

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