How do you change 7 1/7% to a decimal?

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Answer 1 · 2017-01-19T16:36:14

$7 \frac{1}{7} = \frac{50}{7} = 7.14$ $7 1/7 = 50/7 = 7.14$

Changing a fraction to a decimal is easy if the denominator is a factor of 10, 100, 1000 ....

However in this case this does not happen.

Another method is to treat a fraction as a division.

$\frac{3}{4} \to 3 \div 4 = 0.75$ $3/4 rarr 3 div 4 = 0.75$

$\frac{3}{5} \to 3 \div 5 = 0.6$ $3/5 rarr 3 div 5 = 0.6$

Change $7 \frac{1}{7}$ $7 1/7$ into an improper fraction

$7 \frac{1}{7} = \frac{50}{7} \to 50 \div 7$ $7 1/7 = 50/7 rarr 50div 7$

$7| ul(50.00000000000$
$" "7.142857142857142857.....$

Note that this is a recurring decimal. so we will have to round it off to a suitable level of accuracy.

$7.143$ (3 decimal places)

$7.14$ (2 decimal places)

As soon as a recurring fraction is involved, fraction form is more accurate, but a decimal is often more convenient.