We read your photo as:

How can percentages and fractions be converted to decimal numbers using long division?

Mathematics

ScanSolve AI Answer

Answers

3 parts
a
0.42
b
0.60
c

0.571428‾0.\overline{571428}

Step-by-step solution

5 steps

To express percentages and fractions as decimal numbers using long division, we first convert percentages to fractions with a denominator of 100, then perform the division.

Part a· 2 steps

42%

  1. Convert the percentage to a fraction.

    42%=4210042\% = \frac{42}{100}

  2. Perform long division of 42 by 100.

    0.42100)42.00‾−0↓420−400↓200−2000\begin{array}{r} 0.42 \\ 100 \overline{\smash{)} 42.00} \\ -0 \downarrow \\ \hline 420 \\ -400 \downarrow \\ \hline 200 \\ -200 \\ \hline 0 \end{array}

    The decimal representation of 42% is 0.42\boxed{0.42}.

Part b0.60

60%

  1. Convert the percentage to a fraction.

    60%=6010060\% = \frac{60}{100}

  2. Perform long division of 60 by 100.

    0.60100)60.00‾−0↓600−600↓00−000\begin{array}{r} 0.60 \\ 100 \overline{\smash{)} 60.00} \\ -0 \downarrow \\ \hline 600 \\ -600 \downarrow \\ \hline 00 \\ -00 \\ \hline 0 \end{array}

    The decimal representation of 60% is 0.60\boxed{0.60}.

Part c

0.571428‾0.\overline{571428}

4/7

  1. Perform long division of 4 by 7.

    0.571428...7)4.000000‾−0↓40−35↓50−49↓10−7↓30−28↓20−14↓60−56↓4\begin{array}{r} 0.571428... \\ 7 \overline{\smash{)} 4.000000} \\ -0 \downarrow \\ \hline 40 \\ -35 \downarrow \\ \hline 50 \\ -49 \downarrow \\ \hline 10 \\ -7 \downarrow \\ \hline 30 \\ -28 \downarrow \\ \hline 20 \\ -14 \downarrow \\ \hline 60 \\ -56 \downarrow \\ \hline 4 \end{array}

    The division results in a repeating decimal.
    The decimal representation of 4/7 is 0.571428‾\boxed{0.\overline{571428}}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QConvert the fraction to a decimal by dividing the numerator by the denominator.QConvert fractions to decimals using division and by changing the denominator to a power of ten.QPerform the long division.QConvert the following rational numbers in the form of terminating decimal or non-terminating and…QConverting Fractions to Decimals divide the numerator by the denominator and round if needed
Browse by topic:Pre-Algebra
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp