What fraction of the candles on the cake is lit-displaystyle frac -4-3-displaystyle frac -3-7-displaystyle frac -4-7-displaystyle frac -1-4-

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Question

What fraction of the candles on the cake is lit?

$\frac{4}{3}$
$\frac{3}{7}$
$\frac{4}{7}$
$\frac{1}{4}$

\frac{4}{3}

\frac{1}{4}

\frac{4}{7}

\frac{3}{7}

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Solution

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In the given cake, there are a total of $7$ candles and $4$ candles are lighten amongst them. Therefore, the ratio of lighten candles to the total number of candles is:

$\frac{L i t}{T o t a l} = \frac{4}{7}$

Hence, the fraction of the lit candles on the cake is $\frac{4}{7}$

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What fraction of the candles on the cake is lit ?

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Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
(b) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [\frac{1}{4} \times \frac{2}{3}] - (\frac{- 4}{7})$
(c) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = \frac{2}{3} + (- \frac{1}{4}) \times \frac{- 4}{7}$
(d) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = {\frac{2}{3} + (\frac{- 4}{7})} - \frac{1}{4}$

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Jimmy learnt the concepts of mixed fractions and improper fractions. He had a thought and wanted to confirm it with his teacher. He wrote the following steps on a paper:

$9 \frac{3}{4} = 9 + \frac{3}{4} = (8 + 1) + \frac{3}{4} = 8 + (1 + \frac{3}{4}) = 8 + \frac{7}{4} = 8 \frac{7}{4}$

Jimmy says that $8 \frac{7}{4}$ is a mixed fraction. Choose the correct option(s):

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Pick out the greatest fraction.

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What fraction of the candles on the cake is lit?43374714

In the given cake, there are a total of 7 candles and 4 candles are lighten amongst them. Therefore, the ratio of lighten candles to the total number of candles is:LitTotal=47Hence, the fraction of the lit candles on the cake is 47

What fraction of the candles on the cake is lit?

$\frac{4}{3}$
$\frac{3}{7}$
$\frac{4}{7}$
$\frac{1}{4}$

In the given cake, there are a total of $7$ candles and $4$ candles are lighten amongst them. Therefore, the ratio of lighten candles to the total number of candles is:

$\frac{L i t}{T o t a l} = \frac{4}{7}$

Hence, the fraction of the lit candles on the cake is $\frac{4}{7}$