Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Simplify................................................
[tex] \displaystyle{5 \frac{1}{6} + 2 \frac{1}{3} - 5 \frac{11}{12} }[/tex]
​

Sagot :

Athena8213

Answer:

see below:-

Step-by-step explanation:

Given,

[tex] \displaystyle{5 \frac{1}{6} + 2 \frac{1}{3} - 5 \frac{11}{12} }[/tex]

  • Convert the mixed fractions into improper fractions.

[tex] \displaystyle{ \frac{31}{6} + \frac{7}{3} \ - \frac{71}{12} }[/tex]

  • Take LCM of the denominators:-

LCM of 6,3 and 12=3×2×1×1×2=12

[tex] \therefore{\displaystyle{ \frac{31}{6} + \frac{7}{3} - \frac{71}{12} = \frac{31 \times 2 + 7 \times 4 - 71 \times 1}{12} }}[/tex]

[tex] = \displaystyle{ \frac{62 + 28 - 71}{12} }[/tex]

[tex]\displaystyle{ = \frac{90 - 71}{12} }[/tex]

[tex]\displaystyle{ = \frac{19}{12} }[/tex]

  • Convert the improper fractions into mixed fraction:-

[tex]\displaystyle{1 \frac{7}{12} }[/tex]

ⲊⲧɑⲅⲊⲏɑᴅⲟᏇ

Ⲁⲛ⳽ⲱⲉⲅ :

[tex] \quad\hookrightarrow\quad \sf {\dfrac{19}{12}\: or \: 1\dfrac{7}{12} }[/tex]

Ⲋⲟⳑⳙⲧⳕⲟⲛ :

We will solve the given mixed fraction in 2 steps :

  • Converting into improper fraction

[tex] \implies\quad \tt {5\dfrac{1}{6}+2\dfrac{1}{3}-5\dfrac{11}{12} }[/tex]

[tex] \implies\quad \tt { \dfrac{(6\times 5)+1}{6}+\dfrac{(3\times 2)+1}{3}-\dfrac{(12\times 5)+11}{12}}[/tex]

[tex] \implies\quad \tt { \dfrac{30+1}{6}+\dfrac{6+1}{3}-\dfrac{60+11}{12}}[/tex]

[tex] \implies\quad \tt { \dfrac{31}{6}+\dfrac{7}{3}-\dfrac{71}{12}}[/tex]

  • Taking L.C.M

[tex] \implies\quad \tt { \dfrac{(2\times31)+(4\times 7)-(1\times 71)}{12} }[/tex]

[tex] \implies\quad \tt { \dfrac{62+28-71}{12}}[/tex]

[tex] \implies\quad \tt { \dfrac{90-71}{12}}[/tex]

[tex] \implies\quad \tt {\dfrac{19}{12} }[/tex]

[tex] \implies\quad\underline{\underline {\pmb{\tt {1\dfrac{7}{12} }}}}[/tex]

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.