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Simplify using the identity −2 /7 x 1/5 + 1/3 – 4/5 x – 2/7
Question
Simplify using the identity −2 /7 x 1/5 + 1/3 – 4/5 x – 2/7
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Mathematics
5 years
2021-08-15T21:10:04+00:00
2021-08-15T21:10:04+00:00 1 Answers
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Answer:
1/3 + 6/35
Step-by-step explanation:
We are given;
−2/7 × 1/5 + 1/3 – 4/5 × -2/7
Using the rule of bodmas, we will group them and solve with multiplication being the first operation.
1/3 – (4/5 × -2/7) + (−2/7 × 1/5)
Factorization of first and second bracket gives;
1/3 + 2/7(4/5) + 2/7(-1/5)
Factorizing again gives;
1/3 + 2/7(4/5 – 1/5)
>> 1/3 + 2/7(3/5)
>> 1/3 + 6/35