What is 84:112 as fraction in simplest form?

84:112

=(7*4)*3:(7*4)*4
=28*3:28*4
=3:4

To convert 84:112 into a fraction in simplest form, we can start by finding the greatest common divisor (GCD) of the numerator (84) and the denominator (112).

The GCD of 84 and 112 can be found by listing the factors of each number:

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

The common factors are 1, 2, 4, 7, 14, and 28. The largest among them is 28, which is the GCD of 84 and 112.

Now, we can divide both the numerator and denominator by the GCD (28):

84 ÷ 28 = 3
112 ÷ 28 = 4

Therefore, the simplified fraction form of 84:112 is 3/4.

To double-check, you can divide the numerator (3) by the denominator (4):

3 ÷ 4 = 0.75

So, the decimal form of the fraction is 0.75, confirming that 84:112 simplifies to 3/4.