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.
