Factor out common terms: Write down the multiplication problem and factor out any common terms if possible.We have (18x213w2x)×(10wx). First, we can factor out the common terms in the numerators and denominators.
Cancel out x terms: Cancel out the common x terms from the numerator and denominator. The x in the numerator of the first fraction and one x from the x2 in the denominator of the first fraction cancel out, leaving us with (18x13w2)×(10wx).
Cancel out w terms: Cancel out the common w terms from the numerator and denominator.The w in the numerator of the second fraction and one w from the w2 in the numerator of the first fraction cancel out, leaving us with (18x13w)×(10x).
Multiply numerators and denominators: Multiply the remaining terms in the numerators and denominators.Now we multiply the numerators together and the denominators together: (13w×10x)/(18x).
Simplify numerator multiplication: Simplify the multiplication of the numerators. Multiplying the numerators gives us 130wx2.
Simplify denominator multiplication: Simplify the multiplication of the denominators.Since there is only one term in the denominator, it remains 18x.
Cancel out x terms: Cancel out the common x terms from the numerator and denominator. The x in the numerator and the x in the denominator cancel out, leaving us with 18130w.
Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor if possible.The greatest common divisor of 130 and 18 is 2. Dividing both by 2 gives us 965w.
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