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3 years ago

-5 2/3- (-6 1/5)+ 1 7/12 Show how please

Mathematics

1 answer:

blagie [28]3 years ago

4 0

Answer:

2⁷/₆₀

Step-by-step explanation:

-5⅔ - (-6⅕) + 1⁷/₁₂

1. Remove parentheses

-5⅔ - (-6⅕) + 1⁷/₁₂ = -5⅔ + 6⅕+ 1⁷/₁₂

2. Convert the fractions to their lowest common denominators.

The lowest common denominator of 3, 5, and 12 is 60. Thus

-5⅔ + 6⅕+ 1⁷/₁₂ = -5⁴⁰/₆₀ + 6¹²/₆₀+ 1³⁵/₆₀

3. Add integers and fractions separately

$\begin{array}{lr}-5 & -\dfrac{40}{60} \\\\+6 & \dfrac{12}{60} \\\\+1 & \dfrac{35}{60} \\\\\mathbf{2} & \mathbf{\dfrac{7}{60}} \\\end{array}$

4. Add the integer and the fraction

2 + ⁷/₆₀ = 2⁷/₆₀

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