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Simplify the expression (16x+44)/(4)

Mathematics

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Answer

4(4x+11)4\frac{4(4x+11)}{4}

Step-by-step solution

4 steps

To simplify the expression 16x+444\frac{16x+44}{4}, we need to factor out the greatest common factor from the numerator.

  1. Identify the terms in the numerator.

    The numerator is 16x+4416x+44. The terms are 16x16x and 44.

  2. Find the greatest common factor (GCF) of 16 and 44.

    • 16=4×416 = 4 \times 4
    • 44=4×1144 = 4 \times 11 The GCF of 16 and 44 is 4.

  3. Factor out the GCF from the numerator.

    16x+44=4(4x)+4(11)=4(4x+11)16x+44 = 4(4x) + 4(11) = 4(4x+11)

  4. Rewrite the fraction with the factored numerator.

    Substitute the factored expression back into the fraction:

    16x+444=4(4x+11)4\frac{16x+44}{4} = \frac{4(4x+11)}{4}

    This shows how 16x+4416x+44 is rewritten as 4(4x+11)4(4x+11).

    The simplified expression is 4(4x+11)4\frac{4(4x+11)}{4}.

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