Question

simplest form of 1.75:3.5​

Answer 1

I think this is the right answer

Answer 2

SOLUTION

TO DETERMINE

The simplest form of 1.75 : 3.5

EVALUATION

Step : 1

Write down the given ratio

The given ratio is 1.75 : 3.5

Step : 2

Write down the given two quantities in fraction

1.75 : 3.5

$\displaystyle \sf{ = \frac{175}{100} : \frac{35}{10} }$

Step : 3

Find the LCM of the denominators

The LCM = 100

Multiply both the denominators by 100

1.75 : 3.5

$\displaystyle \sf{ = \frac{175}{100} : \frac{35}{10} }$

$\displaystyle \sf{ = \bigg( \frac{175}{100} \times 10 \bigg) : \bigg( \frac{35}{10} \times 100 \bigg)}$

$\displaystyle \sf{ = 175 : 350}$

Step : 4

Find the HCF

HCF = 175

Divide both the terms by 175

1.75 : 3.5

$\displaystyle \sf{ = \frac{175}{100} : \frac{35}{10} }$

$\displaystyle \sf{ = \bigg( \frac{175}{100} \times 10 \bigg) : \bigg( \frac{35}{10} \times 100 \bigg)}$

$\displaystyle \sf{ = 175 : 350}$

$\displaystyle \sf{ = 1 : 2}$

FINAL ANSWER

1.75 : 3.5 = 1 : 2

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