×1/4)÷6×3/9 i need the step to this problem so that i explain to my grandson how he he gets the answer

-----×1/72

Step-by-step explanation:

The order of operations says do these operations in order left to right. Please note that ÷ means the same as / unless you define it otherwise in your problem statement.

If you intend the ÷ symbol to be used to indicate everything to its left is divided by everything to its right, it is appropriate to use parentheses for that grouping, as in ...

  (-----×1/4)÷(6×3/9) = (-----×1/4)÷2 = -----×1/8

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Here, we're going to evaluate what you have written according to the usual rules as described above.

  (-----×1/4)÷6×3/9 = -----×1/24×3/9 = -----×(3/24)/9

  = -----×1/8/9

  = -----×1/72

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Comment on the arithmetic

Fractions are multiplied and divided in the usual way:

  a/b×c = (a×c)/b

  a/b/c = (a/b) × (1/c) = a/(b×c)

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Comment on fractions and parentheses

Please note that parentheses are required on any numerator or denominator that consists of anything other than a single number or variable. (The exception is the case where the numerator is a product, because a·b/c = (a·b)/c with or without the parentheses.)

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