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# Simplify by using distributive property 1.2/5*[{-3}/4*1/4]?

The distributive property allows you to multiply something outside the brackets with each component of everything inside. in a simple example: 5 x (8), the distributive property may be used to expand the 8 into say 3 + 5, therefore the equivalent is 5 x (3 + 5) = 15 + 25 = 40. for the example given the distributive property actually makes the solution more complex than it needs to be in my opinion, but for the sake of following instruction is given below: starting with -3 / 4 = (1 - 4)/4 = 1/4 - 1 so inside square brackets becomes: [ (1/4 - 1) * 1/4 ] = 1/4 * 1/4 - 1/4 = 1/16 - 4/16 = -3/16 also, 1.2 can be rewritten using the distributive property as: 1 + 0.2 = 5/5 + 1/5 = 1/5 * (1 + 5) = 6/5. so the final problem simplifies to: 6/5 * 5 * -3 / 16 = -3 * 6 / 16 = -18 /16 = - 9/8 i assume the main purpose of asking to use the distributive property is for writing 1.2 as 6/5, the rest of the simplification of fractions follows pretty easily after that.

Nick Gray
·

3.7k students helped

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