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Chapter 1: Q 1.53. (page 45)

Simplifya8ab6.

Short Answer

Expert verified

34b

Step by step solution

01

Step 1. Given Information

The given expression isa8ab6.

02

Step 2. Write the given expression in the division form.

Since a8is the numerator and ab6is the denominator, write the division form.

a8ab6=a8梅ab6

03

Step 3. To find the result multiply the first fraction by the reciprocal of the second fraction.

  • The reciprocal of the fraction ab6is 6ab.
  • Multiplya8by6ab.

a8梅ab6=a8路6ab=6a8ab

04

Step 4. Factor the numbers and divide out the common factors from the numerator and denominator.

  • Factor the numbers 8 and 6 and then divide the common factors.
  • Simplify.

6a8ab=2路3路a2路2路2路a路b=34b

05

Step 5. Conclusion

The resultant fraction is34b.

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