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sergey [27]
3 years ago
8

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

Mathematics
2 answers:
sweet [91]3 years ago
5 0

Answer:

2 \frac{1}{20}

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 \frac{1}{4} = 7x4 + 1 = 29

Thus, improper fraction would be \frac{29}{4}

do same thing  for other one

thus , \frac{26}{5}

now,

\frac{29}{4} - \frac{26}{5}

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)

\frac{145}{20} -\frac{104}{20} = \frac{41}{20}

convert back to mixed number

2 \frac{1}{20}

RUDIKE [14]3 years ago
4 0

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

7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\

            = \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}

b) Keep Change Flip method

4\frac{1}{4} ÷ 2\frac{1}{5} = \frac{17}{4} ÷ \frac{11}{5}

            =\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}

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