Get the solution to "What is the simplified value of 29+12−78+56?"

Anabelle Schneider

Answered question

2022-02-04

What is the simplified value of

\frac{2}{9} + \frac{1}{2} - \frac{7}{8} + \frac{5}{6}

Nathalie Frazier

Beginner2022-02-05Added 15 answers

To simplify

\frac{2}{9} + \frac{1}{2} - \frac{7}{8} + \frac{5}{6}

, we should first make all denominators equal. For this, we ought to know Least Common Denominator (LCD) of

{9, 2, 8, 6}

, which is 72.
Hence,

\frac{2}{9} + \frac{1}{2} - \frac{7}{8} + \frac{5}{6}

= \frac{2 \times 8}{9 \times 8} + \frac{1 \times 36}{2 \times 36} - \frac{7 \times 9}{8 \times 9} + \frac{5 \times 12}{6 \times 12}

= \frac{16}{72} + \frac{36}{72} - \frac{63}{72} + \frac{60}{72}

= \frac{16 + 36 - 63 + 60}{72}

= \frac{49}{72}

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