(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.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.