Answer:
x = ³/₅
Step-by-step explanation:
1⅔/x = 2⁷/₉ Convert the right-hand side to improper fraction
1⅔/x = ²⁵/₉ Multiply each side by x
1⅔ = ²⁵/₉x Convert the left-hand side to improper fraction
⁵/₃ = ²⁵/₉x Multiply each side by 9
15 = 25x Divide each side by 25
x = ³/₅
Check:
1⅔/⅗ = 2⁷/₉
⁵/₃ × ⁵/₃ = ²⁵/₉
²⁵/₉ = ²⁵/₉
