Solved: "How do you simplify 1+14+23?"

ingathat8b9

Answered question

2022-02-09

How do you simplify

1 + \frac{1}{4} + \frac{2}{3}

anampireec2o

Beginner2022-02-10Added 9 answers

Step 1
As GCD of the denominators 1, 3, and 4 is 12. Hence

1 + \frac{1}{4} + \frac{2}{3}

= \frac{1}{1} + \frac{1}{4} + \frac{2}{3}

= \frac{1 \times 12}{1 \times 12} + \frac{1 \times 3}{4 \times 3} + \frac{2 \times 4}{3 \times 4}

= \frac{12}{12} + \frac{3}{12} + \frac{8}{12}

= \frac{12 + 3 + 8}{12} = \frac{23}{12}

We can also write it as

1 + \frac{3}{12} + \frac{8}{12} = 1 + \frac{3 + 8}{12} = 1 \frac{11}{12}

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