Answer:
(3 m)/4 = 5/6
Explanation:
Solve for m:
(3 m)/4 = 5/6
Multiply both sides of (3 m)/4 = 5/6 by 4/3:
(4×3 m)/(3×4) = 4/3×5/6
4/3×3/4 = (4×3)/(3×4):
(4×3)/(3×4) m = 4/3×5/6
4/3×5/6 = (4×5)/(3×6):
(4×3 m)/(3×4) = (4×5)/(3×6)
(4×3 m)/(3×4) = (3×4)/(3×4)×m = m:
m = (4×5)/(3×6)
The gcd of 4 and 6 is 2, so (4×5)/(3×6) = ((2×2) 5)/(3 (2×3)) = 2/2×(2×5)/(3×3) = (2×5)/(3×3):
m = (2×5)/(3×3)
3×3 = 9:
m = (2×5)/9
2×5 = 10:
Answer: m = 10/9