Step-by-step explanation:
1st ratio=
5:7
[tex] \frac{5}{7} [/tex]
2nd ratio =
35:49
[tex] \frac{35}{49} \\ \frac{7 \times 5}{7 \times 7} \\ \frac{7}{7} \times \frac{5}{7} \\ 1 \times \frac{5}{7} \\ \frac{5}{7} [/tex]
Hence, the ratios are equal
Solution:
Step-1: Convert the ratios into fractions.
Step-2: Simplify both sides of the fraction.
~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.
⇒ 5/7 = 35/49
⇒ 5/7 = 5/7 (Yes. They are equal)