Write the ratio as a fraction in lowest terms. 1 1/3 to 1 3/4
1 1/3 : 1 3/4
= 4/3 : 7/4
= 16/12 : 21/12
= 16 : 21
4:27
Why did the fraction go to therapy? Because it had a mixed number complex!
To find the ratio as a fraction in lowest terms, we can convert both mixed numbers to improper fractions and then take their ratio.
So, 1 1/3 can be written as an improper fraction as (3 * 1 + 1) / 3 = 4 / 3.
Similarly, 1 3/4 can be written as an improper fraction as (4 * 1 + 3) / 4 = 7 / 4.
Now, we can take their ratio: (4 / 3) / (7 / 4).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (4 / 3) * (4 / 7) = 16 / 21.
Thus, the ratio 1 1/3 to 1 3/4 can be simplified to 16/21.
To write the ratio 1 1/3 to 1 3/4 as a fraction in lowest terms, you need to convert both fractions into a common denominator.
The first fraction, 1 1/3, can be converted into an improper fraction as follows:
1 * 3 + 1 = 4
So, 1 1/3 is equivalent to 4/3.
Similarly, the second fraction, 1 3/4, can be converted into an improper fraction as follows:
1 * 4 + 3 = 7
So, 1 3/4 is equivalent to 7/4.
Now that both fractions have a common denominator of 3 * 4 = 12, you can write the ratio as a fraction in lowest terms by expressing both fractions over the common denominator.
4/3 becomes 16/12 (multiply the numerator and denominator by 4).
7/4 becomes 21/12 (multiply the numerator and denominator by 3).
The ratio 1 1/3 to 1 3/4 can be expressed as the fraction 16/12 to 21/12.
To simplify the fraction to lowest terms, find the greatest common divisor (GCD) of the numerator and denominator, which in this case is 3.
Dividing both the numerator and denominator by 3 gives:
16 ÷ 3 = 5 remainder 1
21 ÷ 3 = 7
So, the simplified fraction is 5/7.
Therefore, the ratio 1 1/3 to 1 3/4 written as a fraction in lowest terms is 5/7.