Question
6. Find the sum or difference. a. (2)/(3)+(2)/(4) b. (7)/(4)-(5)/(6) C (25)/(3)-(10)/(6) d. (7)/(9)+(3)/(4) e. (1)/(12)+(1)/(8)
Solution
4.7
(212 Votes)
Finley
Master ยท Tutor for 5 years
Answer
### a.
### b.
### c.
### d.
### e.
Explanation
## Step 1: Finding the Least Common Denominator (LCD) for (a)### To add fractions, we need a common denominator. The LCD of 3 and 4 is 12.## Step 2: Converting Fractions to Equivalent Fractions with the LCD (a)### Convert both fractions to have a denominator of 12:
and
.## Step 3: Adding the Fractions (a)### Now, add the numerators:
.## Step 4: Simplifying the Result (a)### Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 2:
.## Step 5: Repeating the Process for (b)### LCD of 4 and 6 is 12.
and
.
.## Step 6: Repeating the Process for (c)### LCD of 3 and 6 is 6.
and
remains as is.
.## Step 7: Repeating the Process for (d)### LCD of 9 and 4 is 36.
and
.
.## Step 8: Repeating the Process for (e)### LCD of 12 and 8 is 24.
and
.
.