Question

What's 3/4 times 7/9 in simplest form

Answer 1

3/4 times 7/9:

First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.
$\frac{3 \times 7}{4 \times 9}$

Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36). 
$\frac{21}{36}$

Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF). 

Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor. 

Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3. 

$21 \div 3 = 7 \\ 36 \div 3 = 12$

Our new fraction in its simplest form is 7/12.

Answer in fraction form: $\fbox {7/12}$
Answer in decimal form: $\fbox {0.5833}$

Answer 2

Multiply 3 · 7 and 4 · 9
3/4 · 7/9 = 21/36
Divide top and bottom by 3
7/12 would be your answer.