divide the sum of 65/12 and 8/3 by their difference.
Answers
Answer:
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=97 / 33
Step-by-step explanation:
SUM OF 65 / 12 + 8 / 3
BY LCM
65 / 12 + 32 / 12
65 + 32 / 12
= 97 / 12
AND THEIR DIFFERENCE
65 / 12 - 8 / 3
BY LCM
65 / 12 - 32 / 12
65 - 32 / 12
33 / 12
SO NOW DIVIDE
97 / 12 AND 33 / 12
THEREFORE RECIPROCAL 33 / 12 TO CONVERT THE DIVISION SIGN INTO MULTIPLICATION
SO
97 / 12 * 12 /33
=97 / 1 * 1 / 33
=97 / 33
HOPE IT HELPS YOU
Answer:
→ 97/33
Step-by-step explanation:
→ First, take out the sum of 65/12 and 8/3
→ 65/12 + 8/3
→ LCM of 12 and 3 =
→ 12
→ 65×1/12×1 + 8×4/3×4
→ 65/12 + 32/12
→ 97/12
→ Second, take out the difference between 65/12 and 8/3
→ 65/12 - 8/3
→ LCM of 12 and 3 =
→ 13
→ 65×1/12×1 - 8×4/3×4
→ 65/12 - 32/12
→ 33/12
→ Now, divide 97/12 by 33/12
→ 97/12 ÷ 33/12
→ Therefore, Reciprocal of 33/12 is 12/33 and change the '÷' sign into '×' sign
→ 97/12 × 12/33
→ 97/1 × 1/33
→ 97/33
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