t:3/4=7/8:15/16=

t:3/4=7/8:15/16

(15/16)t = (3/4) * (7/8)

t = (21/32) / (15/16)

t = (21/32) * (16/15)

t = 336/480 = 84/120 = 21/38

16/7:4/9=15/14:t=

Do it the same way as the previous problem. Cross multiply and solve for t.

To solve the equation, we need to simplify each fraction in the equation separately and then compare them.

Let's begin by simplifying the first fraction, 3/4. To do this, we can divide the numerator (top number) and the denominator (bottom number) by their greatest common divisor. In this case, the greatest common divisor of 3 and 4 is 1. So dividing both 3 and 4 by 1, the first fraction simplifies to 3/4.

Next, let's simplify the second fraction, 7/8. The greatest common divisor of 7 and 8 is also 1. Dividing both the numerator and the denominator by 1, the second fraction remains as 7/8.

Finally, let's simplify the last fraction, 15/16. The greatest common divisor of 15 and 16 is 1. Dividing both the numerator and the denominator by 1, the third fraction remains as 15/16.

Now that we have simplified all fractions, we can rewrite the equation as follows:
3/4 = 7/8 = 15/16

Since all three fractions are equal, we can conclude that the equation holds true.