To solve: \frac{3}{8}+\frac{b}{3}=\frac{5}{12}

Bobbie Comstock

Bobbie Comstock

Answered question

2021-12-29

To solve: 38+b3=512

Answer & Explanation

usumbiix

usumbiix

Beginner2021-12-30Added 33 answers

Step 1
Myltiply by 2 on both sides,
24(38+b3)=512×24
By distributive property,
24(38+b3)=2438+b324
24(38+b3)=3×3+b×8
24(38+b3)=9+8b
512×24=5×2
512×24=10
The value of 512×24 is 10
Replace 24(38+b3) with 9+8b
Replace 512×24 with 10
9+8b=10
Subtract 9 on both sides,
9+8b9=109
Add the like terms,
8b+0=1
8b=1
Divide by 8 on both sides,
8b8=18
So, the value of b is 18
Esther Phillips

Esther Phillips

Beginner2021-12-31Added 34 answers

Step 1
Given: 38+b3=512
Subtract 38 from both sides
38+b338=51238
Simplify
38+b338
Add similar elements:
3838=0
=b3
Simplify
51238
Least Common Multiplier of 12, 8: 24
Adjust Fractions based on the LCm
=1024924
Since the denominators are equal, combine the fractions:
ac±bc=a±bc
=10924
Subtract the numbers: 109=1
b3=124
Multiply both sides by 3
3b3=1×324
Simplify
b=18
karton

karton

Expert2022-01-09Added 613 answers

Step 1
Group all constants on the right side of the equation
38+b3=512
Subtract 38 from both sides:
38+b338=51238
Group like terms:
b3+38+38=51238
Combine the fractions:
b3+338=51238
Combine the numerators:
b3+0=51238
Simplify the aritmetic:
b3=51238
Find the lowest common denominator:
b3=5×212×2+3×38×3
Multiply the denominators:
b3=5×224+3×324
Multiply the numerators:
b3=1024+924
Combine the fractions:
b3=10924
Combine the numerators:
b3=124
Step 2
Isolate the b
b3=124
Multiply to both sides by 3:
b3×3=124×3
Group like terms:
13×3×b=124×3
Simplify the fraction:
b=124×3
Multiply the fractions:
b=1×324
Find the greatest common factor of the numerator and denominator:
b=1×38×3
Factor out and cancel the greatest common factor:
b=18

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?