Question

$\sf \pink{Find \: The \: Ratio \: Of \: The \: Following :}$

A. 30 minutes to 1.5 hours.
B. 55 paise to ₹1.
C. 40 cm to 1.5m.


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Answer 1

$\sf\pink{Your \: Answers \: Are \: Here}$

• 30 minutes to 1.5 hours.

$1 \: hour \: = 60 \: minutes. \\ \therefore \: 1.5 \: hours \: = 60 \times 15 \: minutes = 90minutes. \\ \therefore \: ratio \: of \: 30 \: minutes \: to \: 15 \: hours \: = ratio \: of \: 30 \: minutes \: to \: 90 \: minutes. \\ = \frac{30}{90} = \frac{30 \div 30}{90 \div 30} = \frac{1}{3} = 1: 3 \\ \\ ( \: hcf \: of \: 30 \: and \: 90 = 30.)$

• 55 paise to ₹1.

$₹1 = 100 \: paise. \\ \therefore \: ratio \: of \: 55 \: paise \: to \: ₹1 \: = \: ratio \: of \: 55 \: paise \: to \: 100 \: paise. \\ = \frac{55}{100} = \frac{55 \div 5}{100 \div 5} \\ \\ ( \: hcf of \: 55 \: and \: 100 = 5 \: )$

• 40 cm to 1.5m.

$1m \: = 100cm. \\ \therefore \: 1.5m = 1.5 \times 100cm = 150cm. \\ \therefore \: ratio of \: 40cm \: to \: 1.5m = ratio of \: 40cm \: to \: 150cm. \\ \frac{40}{150} = \frac{40 \div 10}{150 \div 10} = \frac{4}{15} = 4:15 \\ \\ ( \: hcf\: of \: 40 \: and \: 150 \: = 10 \: )$

$\ \sf \underbrace\orange{Hope \: It's \: Help \: Uh \: Dear }$

Answer 2

Answer:

\begin{gathered}1m \: = 100cm. \\ \therefore \: 1.5m = 1.5 \times 100cm = 150cm. \\ \therefore \: ratio of \: 40cm \: to \: 1.5m = ratio of \: 40cm \: to \: 150cm. \\ \frac{40}{150} = \frac{40 \div 10}{150 \div 10} = \frac{4}{15} = 4:15 \\ \\ ( \: hcf\: of \: 40 \: and \: 150 \: = 10 \: )\end{gathered}

\begin{gathered}₹1 = 100 \: paise. \\ \therefore \: ratio \: of \: 55 \: paise \: to \: ₹1 \: = \: ratio \: of \: 55 \: paise \: to \: 100 \: paise. \\ = \frac{55}{100} = \frac{55 \div 5}{100 \div 5} \\ \\ ( \: hcf of \: 55 \: and \: 100 = 5 \: )\end{gathered}

\begin{gathered}1 \: hour \: = 60 \: minutes. \\ \therefore \: 1.5 \: hours \: = 60 \times 15 \: minutes = 90minutes. \\ \therefore \: ratio \: of \: 30 \: minutes \: to \: 15 \: hours \: = ratio \: of \: 30 \: minutes \: to \: 90 \: minutes. \\ = \frac{30}{90} = \frac{30 \div 30}{90 \div 30} = \frac{1}{3} = 1: 3 \\ \\ ( \: hcf \: of \: 30 \: and \: 90 = 30.)\end{gathered}

Math

5 points

•

55 paise to ₹1.

•

40 cm to 1.5m.

\ \sf \underbrace\orange{Hope \: It's \: Help \: Uh \: Dear }

RAPO4Eva • Expert

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