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3 years ago

2 5/8+9 6/7 simplest form

Mathematics

1 answer:

Romashka [77]3 years ago

4 0

Answer:

Step-by-step explanation:

2 5/8+9 6/7 = 2+9+5/8 + 6/7 = 11 +5/8+6/7

$\frac{5}{8} +\frac{6}{7} =\frac{5*7}{8*7} +\frac{6*8}{7*8}\\\\=\frac{35}{56}+\frac{48}{56}=\frac{35+48}{56} \\\\=\frac{83}{56}\\ =1\frac{27}{56} \\2\frac{5}{8}+9\frac{6}{7}=11+1\frac{27}{56}\\=12\frac{27}{56}$

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Use prime factorization to reduce each fraction 1. 22/165 2. 35/210

yKpoI14uk [10]

Lets find the prime factorization of 22, 165, 35 and 210. Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

The prime factorization of the number 22 is:

$22=2\times11$

Similarly, for 165, 35 and 210 we have

$\begin{gathered} 165=3\times5\times11 \\ 35=5\times7 \\ 210=2\times3\times5\times7 \end{gathered}$

Then, we can solve the given questions.

Question 1.

$\frac{22}{165}=\frac{2\times11}{3\times5\times11}$

so we can cancel out the number 11 and get

$\frac{22}{165}=\frac{2}{3\times5}=\frac{2}{15}$

Then, the answer is

$\frac{2}{15}$

Question 2.

$\frac{35}{210}=\frac{5\times7}{2\times3\times5\times7}$

and we can cancel out the number 5 and 7, then we obtain

$\frac{35}{210}=\frac{1}{2\times3}$

then, the answer is

$\frac{1}{6}$

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1 year ago

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Fynjy0 [20]

Passes through (-5, 5) & has a slope of -6.

We want the answer in slope-intercept form.

** Remember! Slope-intercept form : y=mx+b where m=slope, b=y-intercept.

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y = mx + b

y = (-6)x + (5)

Simplify.

y = -6x + 5

~Hope I helped!~

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See photo below for explanation

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