9 11 x 1 5 x 2 3 as a fraction answer
To multiply mixed numbers, we need to first convert them into improper fractions. Here's how:
Step 1: Convert mixed numbers to improper fractions.
- 9 11: (9 x 11) + 1 = 100. Keep the denominator, so 9 11 becomes 100/11.
- 1 5: (1 x 5) + 1 = 6. Keep the denominator, so 1 5 becomes 6/5.
- 2 3: (2 x 3) + 1 = 7. Keep the denominator, so 2 3 becomes 7/3.
Step 2: Multiply the fractions.
Now we have: 100/11 x 6/5 x 7/3
Multiply the numerators and the denominators:
(100 x 6 x 7) / (11 x 5 x 3) = 4200/165
Step 3: Simplify the fraction.
The greatest common factor (GCF) of 4200 and 165 is 15. Divide both numerator and denominator by 15:
4200/15 = 280 165/15 = 11
Therefore, the simplified fraction answer is 280/11.
