Answer:
4 7/8
Step-by-step explanation:
3 1/4 / 2/3
convert mixed numbers to improper fractions: 3 1/4 / 2/3
13/4 / 2/3
apply the fraction rule: a/b / c/d = a/b * d/c
= 13/4 * 3/2
multiply fractions: a/b * c/d = (a * c)/(b * d)
= (13 * 3)/(4 * 2)
multiply the numbers: 13 * 3 = 39
= 39/(4 * 2)
multiply the numbers: 4 * 2 = 8
= 39/8
convert improper fractions to mixed numbers: 39/8 = 4 7/8
= 4 7/8
Answer:
9:6, 12:8, and 15:10 are all ratios equivalent to 3:2
Step-by-step explanation:
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero).
6/3 + 2/3 = (6 + 2)/3:
4 + 3/8 - (6 + 2)/3
6 + 2 = 8:
4 + 3/8 - 8/3
Put 4 + 3/8 - 8/3 over the common denominator 24. 4 + 3/8 - 8/3 = (24×4)/24 + (3×3)/24 + (8 (-8))/24:
(24×4)/24 + (3×3)/24 + (8 (-8))/24
24×4 = 96:
96/24 + (3×3)/24 + (8 (-8))/24
3×3 = 9:
96/24 + 9/24 + (8 (-8))/24
8 (-8) = -64:
96/24 + 9/24 + (-64)/24
96/24 + 9/24 - 64/24 = (96 + 9 - 64)/24:
(96 + 9 - 64)/24
| 1 |
| 9 | 6
+ | | 9
1 | 0 | 5:
(105 - 64)/24
| 0 | 10 |
| 1 | 0 | 5
- | | 6 | 4
| 0 | 4 | 1:
Answer: 41/24 or decimal 1.70833333.....
