Math, asked by prathemesh6278, 1 year ago

56:120:72 in it's simplest form

Answers

Answered by Anonymous
42

Step-by-step explanation:

56:120:72

14:30:13.....

Answered by payalchatterje
1

Answer:

Required simplest form is 7:5:12.

Step-by-step explanation:

Given,56:120:72

We want to simplify.

This is a problem of Ratio and Proportion.

By chapter of Ratio and Proportion,we know

x:y =  \frac{x}{y}

By some examples we can easily understand this concept.

Example 1:

1:4 =  \frac{1}{4}

Example 2:

4:16 =  \frac{4}{16}  =  \frac{4}{4 \times 4}  =  \frac{1}{4}

Now here given,

56:120:72

So,

56:120:72 =  \frac{56}{120} :72 =  \frac{2 \times 2 \times 7}{2 \times 2 \times 2 \times 3 \times 5} :72 =  \frac{7}{2 \times 3 \times 5} :72 =  \frac{7}{30} :72

Now,

 \frac{7}{30} :72 = 7:30:72 = 7: \frac{30}{72}  = 7: \frac{2 \times 3 \times 5}{2 \times 2 \times 2 \times 3 \times 3}  = 7: \frac{5}{2 \times 2 \times 3}  = 7: \frac{5}{12}  = 7:5:12

Therefore,required simplest form is 7:5:12.

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