Answered: "What is the ratio of 480 g to..."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Ishaan Mcneil

Answered question

2022-02-10

What is the ratio of 480 g to 4.38 kg?

Answer & Explanation

Ijezid8t

Beginner2022-02-11Added 13 answers

To find the ratio between two given weights, we should first convert them to same unit. As one weight is in grams, let us convert other one in kilogram too in grams.
As one has 1000 grams in each kilogram, 4.38 kilogram is

4.38 \times 1000 = 4380

grams.
And hence, the ratio is

\frac{480}{4380} = \frac{48}{438}

-here we have divided numerator and denominator each by 10.
As both are evrn, we can still divide them by 2 and

\frac{48}{438} = \frac{24}{219}

It is observed that as sum of digits of numerator and denominator is divisible by 3, both are divisible by 3.
Hence,

\frac{24}{219} = \frac{8}{73}

.
As we cannot divide them further, the ratio of 480 g to 4.38 kg. is

\frac{8}{73}

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