Question

Q5. Solve the following.
(a) 5/2+1/11+3/22​

Answer 1

Answer:

$\frac{30}{11}$

Step-by-step explanation:

$\frac{5}{2}$ + $\frac{1}{11}$ + $\frac{3}{22}$

= $\frac{5}{2}$ * $\frac{11}{11}$  + $\frac{1}{11}$*$\frac{2}{2}$ + $\frac{3}{22}$

= $\frac{55}{22}$ + $\frac{2}{22}$ + $\frac{3}{22}$

= $\frac{55+2+3}{22}$

= $\frac{60}{22}$

= $\frac{30}{11}$

Answer 2

Answer:

2.7272727

Step-by-step explanation:

Add: 5/ 2

+ 1/ 11

= 5 · 11/ 2 · 11

+ 1 · 2/ 11 · 2

= 55/ 22

+ 2/ 22

= 55 + 2/ 22

= 57/ 22

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(2, 11) = 22. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 11 = 22. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - five halfs plus one eleventh = fifty-seven twenty-seconds.

Add: the result of step No. 1 + 3/ 22

= 57/ 22

+ 3/ 22

= 57 + 3/ 22

= 60/ 22

= 2 · 30/ 2 · 11

= 30/ 11

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 both denominators - LCM(22, 22) = 22. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 22 × 22 = 484. In the next intermediate step , cancel by a common factor of 2 gives 30/

11

.

In words - fifty-seven twenty-seconds plus three twenty-seconds = thirty elevenths.

thus the answer is 5/2 + 1/11 + 3/22 = 30/ 11

= 2 8/ 11   ≅ 2.7272727