Question

Express each of the following ratios in simplest form. 1 hrs 5 min : 45 min, (2). 8 months : 1 Year., (3). 2kg 250g : 3kg . SOLVE IT FAST⚡

Answer 1

Answer:

$\large\color{purple}\underline{\underline{Question:}}$

Express the following ratios in simplest form :

$1. 1\:hrs\:min:45\:mins$

$2. 8\:months:1\:year$

$3. 2\:kg\:250\:g:3\:kg$

$\large\color{green}\underline{\underline{Taken:}}$

$Ratio=\frac{Any\:unit}{Any\:unit}$

$\large\color{blue}\underline{\underline{Concept:}}$

• See first make all the units same . Ex = 1 hr and 45 min .

Then we should make it 60 min and 45 min.

• Then divide the both unit .

• Then write it both in with the ratio symbol.

$\large\color{orange}\underline{\underline{Solution:}}$

Equation 1.

$1\:hrs\:5\:min:45\:min$

$Ratio=\frac{1\:hrs\:5\:min}{45\:min}$

$See\:make\:1 hr\:5 min\:in\:min$

$1\:hour=60\:minutes$

$Ratio=\frac{60\:min+5\:min}{45\:min}$

$Ratio=\frac{65\:min}{45\:min}$

$Ratio=\frac{13}{9}$

$\therefore\boxed{Ratio=13:9}$

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Equation 2.

$8\:months:1\:year$

$Ratio=\frac{8\:months}{1\:year}$

$Convert\:1\:year\:to\:months$

$1\:year=12\:months$

$Ratio=\frac{8\:months}{12\:months}$

$Ratio=\frac{2}{3}$

$\therefore\boxed{Ratio=2:3}$

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Equation 3.

$2\:kg\:250\:g:3\:kg$

$Ratio=\frac{2\:kg\:250\:g}{3\:kg}$

$Convert\:2kg\:250g\:and\:3kg\:into\:grams.$

$1\:kg=1000\:g$

$Ratio=\frac{2000\:g+250\:g}{3000\:g}$

$Ratio=\frac{2250\:g}{3000\:g}$

$Ratio=\frac{3}{4}$

$\therefore\boxed{Ratio=3:4}$

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