Question

Add −2/3+2 3/8 . Write your answer as a mixed number in simplest form.

Answer 1

Answer:

41/24 or 1 17/24

Step-by-step explanation:

2 3/8=19/8

-2/3+19/8

-16/24+57/24

41/24

Answer 2

Conversion a mixed number 1 3/
4
to a improper fraction: 1 3/4 = 1 3/
4
= 1 · 4 + 3/
4
= 4 + 3/
4
= 7/
4
To find a new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/
4
= 4/
4

b) Add the answer from previous step 4 to the numerator 3. New numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters is seven quarters
Conversion a mixed number 2 3/
8
to a improper fraction: 2 3/8 = 2 3/
8
= 2 · 8 + 3/
8
= 16 + 3/
8
= 19/
8


To find a new numerator:
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8
= 16/
8

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 8.

Two and three eighths is nineteen eighths
Add: 7/
4
+ 19/
8
= 7 · 2/
4 · 2
+ 19/
8
= 14/
8
+ 19/
8
= 14 + 19/
8
= 33/
8

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(4, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 8 = 32. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seven quarters plus nineteen eighths = thirty-three eighths.