Use the fraction bar interactive tool to find the lowest common denominator before subtracting 2 3 from 5 6 . What is the lowest common denominator? Rewrite the difference as a sum of the fractions using the lowest common denominator. What is the answer?

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Answer:

What is the lowest common denominator?

✔ 6

Rewrite the difference as a sum of the fractions using the lowest common denominator.

✔ 5/6 + (–4/6)

What is the answer?

✔ 1/6

Step-by-step explanation:

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Fractions can be combined by taking their LCMs

  • The lowest common denominator is 6
  • The new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]

The numbers are given as:

[tex]\mathbf{\frac{2}{3}\ and\ \frac{5}{6}}[/tex]

The denominators are 3 and 6.

Factor both numbers;

[tex]\mathbf{3 = 1\times 3}[/tex]

[tex]\mathbf{6 = 1 \times 2 \times 3}[/tex]

So, the LCM is:

[tex]\mathbf{LCM = 1 \times 2 \times 3}[/tex]

[tex]\mathbf{LCM = 6}[/tex]

The lowest common denominator is 6

The expression is represented as:

[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6}}[/tex]

Rewrite as:

[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6} = -\frac{4}{6} + \frac{5}{6}}[/tex]

Hence, the new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]

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