7th grade · Math · Unit 7 of 22
Fractions, Decimals & Percents
Convert, compare and use ratios
What your child practices
Moving between fractions, decimals (including repeating decimals) and percents, finding a percent of a number, and simplifying and scaling ratios.
Texas Essential Knowledge and Skills (TEKS) teks student expectation: 7.3(A); 7.4(D) · fractions, decimals and percents in percent problems
How we explain it
Children can open this short lesson before they practice.
- A fraction to a decimal: divide the top by the bottom.
- A decimal to a percent: multiply by 100.
- Percent means out of 100.
Example: Write 3/4 as a decimal and a percent. 3 ÷ 4 = 0.75. 0.75 × 100 = 75%. Answer: 0.75 = 75%
Fractions, Decimals & Percents in Texas
In the Texas Essential Knowledge and Skills (TEKS), this is unit 7 of 22 in 7th grade Math, after Percents & Proportions and before Scale Drawings.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Texas Education Agency (TEA)
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Write 1/4 as a decimal.
answer box
0.25
Hint: Make the denominator a power of ten (10, 100, 1000…): 1/4 = 25/100 = 0.25. (Or divide 1 ÷ 4.)
Question 2
What percent of the bar is shaded?
answer box%
50 %
Hint: 5 of the 10 equal parts are shaded: 5/10. 5/10 = 5/10 = 0.5 = 50%.
Question 3
An animal shelter has 15 cats and 12 dogs. What is the ratio of cats to dogs in simplest form?
- 4:5
- 5:4
- 4:9
- 5:9
5:4
Hint: Write the ratio in order, cats first: 15:12. Divide both terms by 3, their greatest common factor: 5:4.
Question 4
Write 20% as a fraction. (Simplify it if you can.)
20%answer box
1/5
Hint: 20% means 20 out of 100, so it's 20/100. Divide the top and bottom by 20: 1/5.
Question 5
Which decimal is equal to 1/9? (… means the digits keep repeating.)
- 0.222…
- 0.1818…
- 0.1
- 0.111…
0.111…
Hint: Divide 1 ÷ 9. The division never ends: the digit 1 repeats forever, so 1/9 = 0.111…. 0.1 stops too soon.
Question 6
A team won 4 of its 25 games. What percent of its games did it win?
answer box%
16 %
Hint: Write it as a fraction and change it to hundredths: 4/25 = 0.16 = 16%.