Mathematics, 18.09.2019 18:30 donaldpartee1

Simplify 16/3(6/8b+9/2).
write in simplest form.

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16/3(6/8b+9/2) Final result : 4 • (b + 6) Step by step solution :Step 1 : 9 Simplify — 2 Equation at the end of step 1 : 16 6 9 —— • ((— • b) + —) 3 8 2Step 2 : 3 Simplify — 4 Equation at the end of step 2 : 16 3 9 —— • ((— • b) + —) 3 4 2 Step 3 :Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       4

      The right denominator is :       2

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 2212 Product of all
Prime Factors 424

Least Common Multiple:
4

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. 3b —————————————————— = —— L.C.M 4 R. Mult. • R. Num. 9 • 2 —————————————————— = ————— L.C.M 4 Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3b + 9 • 2 3b + 18 —————————— = ——————— 4 4 Equation at the end of step 3 : 16 (3b + 18) —— • ————————— 3 4 Step 4 : 16 Simplify —— 3 Equation at the end of step 4 : 16 (3b + 18) —— • ————————— 3 4 Step 5 :Step 6 :Pulling out like terms :

6.1 Pull out like factors :

3b + 18 = 3 • (b + 6)

Final result : 4 • (b + 6)

Answer from: Quest

the correct answer is 5 6 and 7

Answer from: Quest

option a is correct.

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

Which is the scale factor proportion for the reduction shown? answers are on picture.

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Simplify 16/3(6/8b+9/2).
write in simplest form....

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