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Sagot :
Answer:
-3/7
Step-by-step explanation:
[tex]-3\frac{1}{7} / 7 \frac{2}{6}[/tex]
[tex]-3 \frac{1}{7} = \frac{-22}{7}[/tex]
[tex]7\frac{2}{6} = 7\frac{1}{3} = \frac{22}{3}[/tex]
[tex]\frac{\frac{-22}{7} }{\frac{22}{3} }[/tex][tex]= \frac{-22}{7} * \frac{3}{22} = \frac{-3}{7}[/tex]
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Given the two dividends, we can solve accordingly through steps:
1. Convert to improper
3 • 7 = 21
21 + 1 = 22
Our improper fraction for -3 1/7 is -22/7.
7 • 6 = 42
42 + 2 = 44
Our improper fraction for 7 2/6 is 44/6.
2. Use Skip Flip Multiply method (SFM)
Our dividends are -22/7 and 44/6. We can solve by first using the skip principle, meaning we can leave -22/7 as it is.
Next, we can flip 44/6 so we have its reciprocal, which is 6/44.
Now, we multiply our new fractions:
-22/7 • 6/44 = -132/308
This converts to -66/154, which also converts to -3/7.
3. Finalize our answer
-3 1/7 divided by 7 2/6 gives us -3/7. This is our final answer.
1. Convert to improper
3 • 7 = 21
21 + 1 = 22
Our improper fraction for -3 1/7 is -22/7.
7 • 6 = 42
42 + 2 = 44
Our improper fraction for 7 2/6 is 44/6.
2. Use Skip Flip Multiply method (SFM)
Our dividends are -22/7 and 44/6. We can solve by first using the skip principle, meaning we can leave -22/7 as it is.
Next, we can flip 44/6 so we have its reciprocal, which is 6/44.
Now, we multiply our new fractions:
-22/7 • 6/44 = -132/308
This converts to -66/154, which also converts to -3/7.
3. Finalize our answer
-3 1/7 divided by 7 2/6 gives us -3/7. This is our final answer.
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