Step by step solution to "What is 1.6 as a fraction?"

percibaa8

Answered question

2021-12-10

What is 1.6 as a fraction?

Answer & Explanation

lovagwb

Beginner2021-12-11Added 50 answers

Explanation:
1.6 is 16 divided by 10 which can be written

\frac{16}{10}

Divide numerator and denominator by the same thing (cancel) in this case divide by 2 to give

\frac{8}{5}

Eight fifths is 1 whole (five fifths) and 3 fifths so as a mixed number

1 \frac{3}{5}

eninsala06

Beginner2021-12-12Added 37 answers

I have deliberately shown this as it demonstrates a very useful technique. The short cut is as per the other solution.
Explanation:
1.6 is the same as

1 + \frac{6}{10}

Multiply by 1 and you do not change the value. However, 1 comes in many forms.

[1 \times 1] + \frac{6}{10} \Rightarrow [1 \times \frac{10}{10}] + \frac{6}{10}

\frac{10}{10} + \frac{6}{10} = \frac{10 + 6}{10} = \frac{16}{10}

To simplify the fraction divide top and bottom by 2

\frac{16}{10} \equiv \frac{16 \div 2}{10 \div 2} = \frac{8}{5}

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