Given a:b = 5 : 4 and b:c = 6 : 5:
Calculate a:c
Match the b portions of each ratio:
Convert a:b Ratio
12 ÷ 4 = 3
3 x 5 : 3 x 4 = 15 : 12
This is our new a : b ratio
Convert b:c Ratio
12 ÷ 6 = 2
2 x 6 : 2 x 5 = 12 : 10
This is our new b : c ratio
Calculate GCF
The b portions of each ratio match, and we have a : c = 15 : 10
Using our GCF Calculator, we can simplify both parts of our ratio by 5
We can express our ratio as a fraction
| 15/5 | |
| 10/5 |
| 3 | |
| 2 |
Final Answer
The b portions of the ratios match
a : c = 3 : 2
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.6.RP.A.1
What is the Answer?
a : c = 3 : 2
How does the Combined Ratio Calculator work?
Free Combined Ratio Calculator - Given a ratio a:b and a ratio b:c, this determines the combined ratio a:c
This calculator has 2 inputs.
This calculator has 2 inputs.
What 1 formula is used for the Combined Ratio Calculator?
a:b and b:c → a * c = b * b
What 4 concepts are covered in the Combined Ratio Calculator?
- combined ratio
- genrated by taking the product of the antecedents of all the ratios as antecedents and the product of the consequents of all the ratios as consequents
- fraction
- how many parts of a certain size exist
a/b where a is the numerator and b is the denominator - least common multiple
- Given 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)
- ratio
- indicates how many times one number contains another
