8 1/8 increased by 2 3/12 is?
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Addition and Subtraction of Fraction
In mathematics, we can only add or subtract fractions if they are similar fraction, similar fraction is a fraction having the same denominators. So if not, we will need to transform dissimilar fraction into similar fraction using Least Common Denominator (LCD), find first the lowest common denominator before we add and/or subtract. fractions. Adding and subtracting fractions is just add or subtract as usual the numerator then copy the denominator.
Question:
8 1/8 increased by 2 3/12 is
Step by step solution and discussion
Step 1: Identify the given and mathematical symbol
8 1/8
2 3/12
increased by means added by
Step 2: Make a mathematical sentence or equation
8 1/8 increased by 2 3/12 is
→ 8 1/8 + 2 3/12 = N
Step 3: Solve
8 1/8 + 2 3/12 = N
Remember, first identify it's LCD and change into similar fraction. Perform the mathematical operation then the answer must be in lowest term.
The LCD of 8 and 12, using continuous division
8 | 12
÷ 2 | 8 | 12
= | 4 | 6
÷ 2 | 4 | 6
= | 2 | 3
÷ 2 | 2 | 3 bring down the 3
= | 1 | 3 bring down the 1
÷ 3 | 1 | 1
LCD is the product of all prime factors, 2 × 2 × 2 × 3 = 24
Therefore, the LCD of 8 and 12 is 24.
Now, transform dissimilar fraction into similar fraction.
8 1/8 → use 24 as the new denominator
24 ÷ 8 × 1 = 3 (new numerator)
8 1/8 → 8 3/24
2 3/12 → use 24 as the new denominator
24 ÷ 12 × 3 = 6 (new numerator)
2 3/12 → 2 6/24
Then, add the two fraction.
8 3/24 + 2 6/24
In addition, add first the whole number
8 + 2 = 10
Next, add the numerator
3 + 6 = 9
Then, copy the denominator.
9/24
The sum of the two fraction is 10 9/24, but 9/24 is can be expressed in lowest term using Greatest Common Factor (GCF). The GCF of 9 and 24 is 3. Thus,
9/24 ÷ 3/3 = 3/8.
Therefore, it was 10 3/8.
Final Answer
10 3/8
Read more!
Find the sum and difference of the given fractions and mixed numbers. Determine the mystery word by writing the letter inside ...
brainly.ph/question/18596277
#CarryOnLearning
#BRAINLYFAST