Find five rational number between 2/3 and 4/5
Answers
Answer:
1001/1500,1002/1500,1003/1500,1004,1500,1005/1500
Step-by-step explanation:
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GIVEN QUESTION:
FIND RATIONAL 5 NUMBERS BETWEEN ⅔ AND ⅘
SOLUTION:
TO FIND RATIONAL NUMBERS BETWEEN ⅔ AND ⅘ FIRST WE NEED TO FIRST MAKE THE DENOMINATORS EQUAL
AND THEN FIND THEIR EQUIVALENT FRACTIONS SO THAT THEY HAVE FIVE RATIONAL NUMBERS BETWEEN THEM
TO MAKE DENOMINATORS EQUAL TAKE THEIR LCM OF DENOMINATORS
LCM OF 3 AND 5 IS 15
NOW MULTIPLY ⅔ BY ⁵/5= 10/15
NOW MULTIPLY ⅘ BY ³/3=12/15
NOW THE DENOMINATORS ARE EQUAL
NOW FIND EQUIVALENT FRACTIONS OF 10/15 AND 12/15
NOW MULTIPLY 10/15 AND 12/15 BOTH BY 3/3
10/15*3/3=30/45
AND 12/15*3/3=36/45
THEREFORE THE FIVE RATIONAL NOMBERS BETWEEN 30/45 AND 36/45 ARE
31/45, 32/45, 33/45, 34/45, 35/45
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