(2 5/8 5/6)+ 1 1/8 what is the answer?

(2 * 5/8 * 5/6) + 1 1/8 = 13/

6

= 2 1/

6

≅ 2.1666667

Step-by-step explanation:

Multiple: 2 * 5/ 8  = 2 · 5/ 1 · 8 = 10/ 8 = 5 · 2/ 4 · 2 = 5/ 4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(10, 8) = 2. In the next intermediate step , cancel by a common factor of 2 gives 5/ 4 .

In words - two multiplied by five eighths = five quarters.

Multiple: the result of step No. 1 * 5/

6 = 5/ 4 * 5/ 6 = 5 · 5/ 4 · 6 = 25/ 24

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(25, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - five quarters multiplied by five sixths = twenty-five twenty-fourths.

Conversion a mixed number 1 1/ 8

to a improper fraction: 1 1/8 = 1 1/ 8 = 1 · 8 + 1/ 8  = 8 + 1/ 8  = 9/ 8

To find new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/ 8  = 8/ 8  

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 8.

One and one eighth is nine eighths

Add: the result of step No. 2 + 9/

8 = 25/ 24  + 9/ 8  = 25/ 24  + 9 · 3/ 8 · 3  = 25/ 24 + 27/ 24  = 25 + 27/ 24  = 52/ 24 = 4 · 13/ 4 · 6  = 13/ 6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(24, 8) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 24 × 8 = 192. In the next intermediate step , cancel by a common factor of 4 gives 13/ 6.

In words - twenty-five twenty-fourths plus nine eighths = thirteen sixths.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer