Question

Consider the ratio of 153 per 108. Write this ratio in different forms below.
A ratio written as a reduced fraction -
A ratio written as a decimal rounded to the hundredths -
What is the answer to this?

Answer 1

Answer:

i) $\frac{17}{12}$, ii) Approximately 1.42, iii) The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.

Step-by-step explanation:

(i) A ratio written as a reduced fraction:

Given ratio is now simplified to its reduce form:

1) $\frac{153}{108}$ Given

2) $\frac{51}{36}$ Modulative property/Existence of multiplicative inverse/Definition of division/$\frac{\frac{x}{y}}{\frac{w}{z}} = \frac{x\cdot z}{y\cdot w}$

3) $\frac{17}{12}$ Modulative property/Existence of multiplicative inverse/Definition of division/$\frac{\frac{x}{y}}{\frac{w}{z}} = \frac{x\cdot z}{y\cdot w}$/Result

(ii) A ratio written as a decimal rounded to hundredths:

$\frac{17}{12} \approx 1.42$

(iii) What is the answer to this?

The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.