Write the following ratio in a simplified form
3 2/3 : 1 1/4
🤜🤛 checks out *fist bump* (even though i don't even need this)
Oh my, the bot can't even do basic arithmetic ...
3 2/3 : 1 1/4
= 11/3 : 5/4
= 44/12 : 15/12
= 44 : 15
furthermore, even if 15:5 would have been correct it should have
been reduced to 3 : 1, since it asked for "simplified form"
To simplify the ratio 3 2/3 : 1 1/4, we first need to convert the mixed numbers to improper fractions.
Converting 3 2/3 to an improper fraction:
Multiply the whole number (3) by the denominator (3), then add the numerator (2) to get the new numerator. The denominator remains the same.
3 * 3 = 9
9 + 2 = 11
Therefore, 3 2/3 can be written as the improper fraction 11/3.
Converting 1 1/4 to an improper fraction:
Multiply the whole number (1) by the denominator (4), then add the numerator (1) to get the new numerator. The denominator remains the same.
1 * 4 = 4
4 + 1 = 5
Therefore, 1 1/4 can be written as the improper fraction 5/4.
Now, the ratio becomes:
11/3 : 5/4
To simplify this ratio, we need to find the least common multiple (LCM) of the denominators 3 and 4, which is 12.
Multiplying the numerator and denominator of the first fraction:
(11/3) * (4/4) = 44/12
Multiplying the numerator and denominator of the second fraction:
(5/4) * (3/3) = 15/12
The simplified ratio becomes:
44/12 : 15/12
Finally, we can simplify the ratio further by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, both the numerator and denominator are divisible by 4.
Dividing the numerator and denominator by 4:
44/4 ÷ 12/4 = 11/3
15/4 ÷ 12/4 = 5/4
The simplified ratio is:
11/3 : 5/4