SME
Grade 7 Math · Problem type
Fractions as decimals
Use this for “Write 3/8 as a decimal” or “Which decimal is closest to 13/16?”
Diagram
3/8: 3 jumps of 1/8 from 0.
This is an example. Type your own values to start a new problem.
n
d
=
q
Formulas
q
=
n
÷
d
(decimal
=
numerator
÷
denominator)
0.375 = 3 ÷ 8
Assumptions
•
A fraction is a division: numerator ÷ denominator.
•
The decimal ends when a remainder is 0.
•
It repeats when a remainder comes back: 1/3 = 0.333…, written with a bar over the 3.
Step-by-step
WE KNOW
n = 3 (numerator), d = 8 (denominator)
FIND
decimal (q)
Step 1 · Find decimal (q)
Use q = n ÷ d (decimal = numerator ÷ denominator)
Divide the numerator by the denominator, adding zeros after the point until the remainder is 0.
q
=
3
8
0
.
3
7
5
8
)
3
.
0
0
0
−
2
4
6
0
−
5
6
4
0
−
4
0
0
q
=
0.375
Check
Put the numbers back in. Both sides should match.
0.375 × 8 = 3 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.
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Related lessons
Operations with positive and negative rational numbers
Main lesson
Adding with counters
Use this for “Show 3 + (−5) with counters.”
Subtracting signed numbers
Use this for “−3 − 8” and “How many feet higher is 1,640 ft than −212 ft?”
Multiplying and dividing signed numbers
Use this for “(−6)(−4)” and “54 ÷ (−9)”.
The sign of the answer
Use this for “Is (−5) × (−7) positive or negative?” before working it out.