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Y_Kistochka [10]
3 years ago
5

Find the quotient.5 over 7 divided by 7 over 10

Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:

\frac{5}{7}\div \frac{7}{10}=\frac{50}{49}

Step-by-step explanation:

\frac{5}{7}\div \frac{7}{10}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}

=\frac{5}{7}\times \frac{10}{7}

\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}

=\frac{5\times \:10}{7\times \:7}

\mathrm{Multiply\:the\:numbers:}\:5\times \:10=50

=\frac{50}{7\times \:7}

\mathrm{Multiply\:the\:numbers:}\:7\times \:7=49

=\frac{50}{49}

Therefore,

  • \frac{5}{7}\div \frac{7}{10}=\frac{50}{49}
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