Question

Please help me with this, it is due tomorrow and you'll be my lifesaver. I will appreciate it so much, thank you and have nice day! ​

Answer 1

Before doing this you should know that :

• ${\boxed{\bf{a\dfrac{b}{c}=\dfrac{ac+b}{c}}}}$

Where , ${\sf{a\dfrac{b}{c}}}$ is a mixed fraction.

Question 1 :-

${:\implies \quad \sf 7\dfrac{5}{6}-2\dfrac{3}{10}}$

${:\implies \quad \sf \dfrac{47}{5}-\dfrac{23}{10}}$

After taking LCM ;

${:\implies \quad \sf \dfrac{94-23}{10}}$

${:\implies \quad \bf \underline{\underline{\dfrac{71}{10}}}}$

Question 2 :-

${:\implies \quad \sf 10-5\dfrac{4}{9}}$

${:\implies \quad \sf \dfrac{10}{1}-\dfrac{49}{9}}$

After taking LCM ;

${:\implies \quad \sf \dfrac{90-49}{9}}$

${:\implies \quad \bf \underline{\underline{\dfrac{41}{9}}}}$

Question 3 :-

${:\implies \quad \sf 7\dfrac{1}{3}-3\dfrac{6}{7}}$

${:\implies \quad \sf \dfrac{22}{3}-\dfrac{27}{7}}$

After taking LCM ;

${:\implies \quad \sf \dfrac{154-81}{21}}$

${:\implies \quad \bf \underline{\underline{\dfrac{73}{21}}}}$

Question 4 :-

${:\implies \quad \sf 5\dfrac{2}{7}+3\dfrac{1}{6}}$

${:\implies \quad \sf \dfrac{37}{7}-\dfrac{19}{6}}$

After taking LCM ;

${:\implies \quad \sf \dfrac{222+133}{42}}$

${:\implies \quad \bf \underline{\underline{\dfrac{355}{42}}}}$

Question 5 :-

As Sarah bought 1 ¼ feet of yellow fabric , 2 ⅚ feet of pink fabric and 3 ½ feet of purple fabric. So , the total length of fabric will be given by the sum of all as follows ;

${:\implies \quad \sf 1\dfrac14 +2\dfrac56 + 3\dfrac12}$

${:\implies \quad \sf \dfrac{5}{4}+\dfrac{17}{6}+\dfrac{7}{2}}$

After Taking LCM ;

${:\implies \quad \sf \dfrac{15+34+42}{12}}$

${:\implies \quad \sf \dfrac{91}{12}\:\: feet}$

Or writing it as mixed fraction ;

${:\implies \quad \bf \therefore \quad \underline{\underline{7\dfrac{7}{12}\:\: feet}}}$