10/7 : 4/9 = 3/14 : t
This can be written
10/7 ÷ 4/9 = 3/14 ÷ t Keep, change, flip left side.
10/7 * 9/4 = 3/14 ÷ t Multiply the fractions.
90/28 = 3/14 ÷ t Multiply both sides by t.
t * 90/28 = 3/14 Divide both sides by 90/28
t = 3/14 ÷ 90/28 Keep, change flip the right side.
t = 3/14 * 28/90 Multiply the fractions.
t = 84 / 1260 Reduce.
t = 1/15
10/7 : 4/9 = 3/14 : t we can write
(10/7) / (4/9) = (3/14) / t
Simplify the left side by inverting the second fraction and multiplying by the first
(90 / 28 ) = (3/14) / t reduce the fraction on the left side
(45 / 14) = (3/14) / t multiply both sides by (14/3)
(45 / 3) = 1 / t
15 = 1 / t multiply both sides by t and divide both sides by 15
t = 1/15