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Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.


Can Someone Please Help With These 2 Questions It Would Mean The World To Me I Have Attached The Image For The Questions class=

Sagot :

Answer:

2 [tex]\frac{1}{20}[/tex]

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 [tex]\frac{1}{4}[/tex] = 7x4 + 1 = 29

Thus, improper fraction would be [tex]\frac{29}{4}[/tex]

do same thing  for other one

thus , [tex]\frac{26}{5}[/tex]

now,

[tex]\frac{29}{4}[/tex] - [tex]\frac{26}{5}[/tex]

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

[tex]\frac{145}{20} -\frac{104}{20}[/tex] = [tex]\frac{41}{20}[/tex]

convert back to mixed number

2 [tex]\frac{1}{20}[/tex]

Answer:

Step-by-step explanation:

a) Step1 : write in improper form

Step 2 : Find least common denominator

Step 3: Find equivalent fractions and then subtract

[tex]7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\[/tex]

            [tex]= \frac{29*5}{4*5}-\frac{26*4}{5*4}\\\\=\frac{145}{20}-\frac{104}{20}\\\\=\frac{145-104}{20}\\\\=\frac{41}{20}\\\\=2\frac{1}{20}[/tex]

b) Keep Change Flip method

[tex]4\frac{1}{4}[/tex] ÷ [tex]2\frac{1}{5} = \frac{17}{4}[/tex] ÷ [tex]\frac{11}{5}[/tex]

            [tex]=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}[/tex]