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37 votes
37 votes
What is 2 9/10 - 1 7/18=

User Ihsany
by
3.0k points

1 Answer

22 votes
22 votes

1(23)/(45)

Step-by-step explanation:


2(9)/(10)\text{ - 1}(7)/(18)

Convert to improper fraction:


\begin{gathered} (29)/(10)\text{ - }(25)/(18) \\ \text{LCM = 10(18) = 180} \\ \frac{29(18)\text{ - }25(10)}{180}\text{ } \\ =\text{ }\frac{522\text{ }-\text{ 250}}{180} \end{gathered}
\begin{gathered} =(272)/(180) \\ 4\text{ is common to both} \\ =\text{ }(4(68))/(4(45))=(68)/(45) \\ =\text{ 1}(23)/(45) \end{gathered}

User Myles Best
by
2.9k points
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