Write this ratio as a fraction in lowest terms
1 2/9 to 1 3/10
To write the ratio "1 2/9 to 1 3/10" as a fraction in lowest terms, we need to convert each mixed number to an improper fraction, then form the ratio as a fraction and simplify if necessary.
First, let's convert the mixed numbers to improper fractions:
1 2/9 = (1 × 9 + 2) / 9 = (9 + 2) / 9 = 11/9
1 3/10 = (1 × 10 + 3) / 10 = (10 + 3) / 10 = 13/10
Now that we have the improper fractions, we can write the ratio as:
(11/9) / (13/10)
To divide fractions, we multiply the first fraction by the reciprocal of the second:
(11/9) * (10/13)
Now we multiply the numerators and denominators:
(11 * 10) / (9 * 13) = 110 / 117
The fraction 110/117 is in its lowest terms because the numerator and denominator do not have any common factors other than 1. Thus, the ratio "1 2/9 to 1 3/10" in fraction form is 110/117.