Answer:
1.) 3/4
2.) 44/5 or 8 4/5
3.) 17/6 or 2 5/6
Explanation:
1.) 5/16 ÷ 5/12
To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:
5/16 × 12/5
5 × 12 / 16 × 5
Cancel out 5 since both numerator and denominator has it:
12 / 16
Divide both by 4:
12 ÷ 4 / 16 ÷ 4
3/4
2.) 3 1/5 • 2 3/4
You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:
3 1/5 = 3×5 + 1 = 16/5
2 3/4 = 2 × 4 + 3 = 11/4
Now you can multiply the numerator to numerator then denominator to denominator:
Since 16 is a factor of 4, you can cancel it out, which leaves 4:
16 / 5 × 11/4
4 × 11 / 5 × 1
44/ 5
3.) 6 3/8 ÷ 2 1/4
Convert to improper fraction:
6 3/8 = 6× 8 + 3 = 51/8
2 1/4 = 4 × 2 + 1 = 9/4
(51 × 4)/ (9×8)
51 × 1/ 9× 2
51 / 18
Divide by 3:
17/6