ratio please : (1 + 3 1/4) : (1 1/4 + 3 1/3) please teach me how to do it
4.25 : .58(3)
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Try this
I'm sorry: It'S 4.25 + 4.58(3)
or,
(1 + 3 1/4) : (1 1/4 + 3 1/3)
= (4/4 + 13/4) : (15/12 + 40/12)
= 17/4 : 55/12
= (17*12):(4*55)
= 204:220
= 51:55
To find the ratio between two expressions, you need to simplify each expression, convert them into a common form, and then divide them. Let's calculate the ratio using the given expressions:
Step 1: Simplify the expressions:
For the first expression, 1 + 3 1/4:
To add the whole number (1) with the fraction (3 1/4), we can write it as an improper fraction:
1 + 3 1/4 = 1 + 13/4
Next, we need to find a common denominator. The denominator for the fraction 1/4 is already 4, so we don't need to make any changes.
Now, we can add the whole number and the fraction together:
1 + 13/4 = 4/4 + 13/4 = 17/4.
For the second expression, 1 1/4 + 3 1/3:
Similarly, we convert the mixed numbers to improper fractions:
1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4
3 1/3 = 3 + 1/3 = 9/3 + 1/3 = 10/3.
Step 2: Convert the expressions to a common form:
To compare the two expressions, we need to make their denominators the same. In this case, we can use the least common multiple (LCM) of 4 and 3, which is 12.
Converting the first expression:
17/4 × 3/3 = 51/12.
Converting the second expression:
(5/4 + 10/3) × (3/3) = (15/12 + 40/12) = 55/12.
Step 3: Divide the expressions:
Now that both expressions have the same denominator, we can calculate the ratio:
Ratio = (51/12) / (55/12) = 51/12 ÷ 55/12.
Dividing fractions is equivalent to multiplying by the reciprocal, so we can write it as:
Ratio = 51/12 × 12/55.
Next, simplify the expression:
Ratio = (51 × 12) / (12 × 55) = 612/660.
The simplified ratio is 612/660, which you can reduce to its simplest form by dividing both the numerator and denominator by their greatest common factor, if possible. In this case, their greatest common factor is 12:
Ratio = (612 ÷ 12) / (660 ÷ 12) = 51/55.
Therefore, the ratio of (1 + 3 1/4) to (1 1/4 + 3 1/3) is 51/55.