SME
Grade 6 Math · Problem type
Relate fractions, decimals and percents
Use this for “Write 3/5 as a decimal and a percent,” or 3/8 = 37.5%.
Diagram
60% is 60 of 100 squares shaded
This is an example. Type your own values to start a new problem.
a
b
=
d
=
p
%
Formulas
3 ÷ 5 = 0.6
Numerator ÷ denominator = decimal
0.6 × 100 = 60
Decimal × 100 = percent
Assumptions
•
Make the denominator 100: the numerator is then the percent.
•
A percent is hundredths: 60% = 60/100 = 0.6.
•
Make the denominator 100 when it divides 100; else divide (3 ÷ 8 = 0.375 = 37.5%).
•
A fraction past 1 is past 100%: 5/4 = 125%, up to 10 (1,000%). Denominators 2, 4, 5, 8, 10, 20, 25, 40, 50 and 100.
Step-by-step
WE KNOW
Numerator: 3
Denominator: 5
FIND
decimal, percent
Step 1 · Find decimal
3 ÷ 5 = ?
Numerator ÷ denominator = decimal
Make the denominator 100: multiply the top and bottom by the same number.
3
5
=
60
100
(multiply
both
by
20)
60
100
=
0.6
Decimal = 0.6
Step 2 · Find percent
0.6 × 100 = ?
Decimal × 100 = percent
Hundredths are percents: move the point two places.
Percent = 60%
Check
Put the numbers back in. Both sides should match.
0.6 × 5 = 3 ✓
0.6 × 100 = 60 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.