Fraction - Multiplication : a) 26/9 x 6/13 b) 14/8 x 24/21 x 1/4
Fraction - Word Problem : Nazima gave 2 3/4 litres out of the 5 1/2 litres of juice she purchased to her friends. How many litres of juice is left with her? ( convert into mix fraction)

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Answer:

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Step-by-step explanation:

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Fraction - Multiplication :

a) 26/9 x 6/13

[tex]\frac{26}{9} *\frac{6}{13} =\\\\\frac{156}{117} =\\\\1\frac{39}{117}[/tex]

b) 14/8 x 24/21 x 1/4

[tex]\frac{14}{8} *\frac{24}{21} *\frac{1}{4} =\\\\\frac{336}{672} =\\\\\frac{1}{2}[/tex]

Fraction - Word Problem :

Nazima gave 2 3/4 litres out of the 5 1/2 litres of juice she purchased to her friends. How many litres of juice is left with her? (convert into mixed fraction)

[tex]5\frac{1}{2} -2\frac{3}{4} =\\\\\frac{10}{2} -\frac{11}{4} =\\\\\frac{20}{4} -\frac{11}{4} =\\\\\frac{9}{4} =[/tex]

[tex]2\frac{1}{4}[/tex]

Answer:

4/3

1/2

2 3/4 liters

Step-by-step explanation:

Fraction - Multiplication:

  • a) 26/9 x 6/13 = 2*13/3*3 x 3*2/13= 2/3 x 2= 4/3
  • b) 14/8 x 24/21 x 1/4= 7/4 x 8/7 x 1/4= 2 x 1/4= 1/2

Fraction - Word Problem:

2 3/4 litres out of 5 1/2 litres was given

converted into normal fraction it is:

  • 11/4 litres out of 11/2 litres was given

Juice left:

  • 11/2- 11/4= 22/4- 11/4= 11/4 = 2 3/4 liters

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