Convert - Fraction → Decimal
#ARTH-7-22
Category
Description
How to convert a fraction to a decimal.
Course(s)
Mini-Lesson
085
x
Arithmetic
091
5.5
Definition(s)
093
x
Sub-category
095
x
097
x
Fractions
100
x
ADN
E18
ch3
PHT
ch1
Division Vocabulary
The dividend is the number being divided.
The divisor is the number doing the dividing.
The quotient is the answer.
Fraction
A fraction is a comparison of a part of something to its whole.
The numerator is the number of equal parts being considered.
The denominator is the number of equal parts in the whole.
Rule
Example
Fraction to decimal conversion:
Divide: 𝑛𝑢𝑚𝑒𝑟𝑎𝑡𝑜𝑟 ÷ 𝑑𝑒𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑜𝑟
↔
(add zeros to numerator as needed)
Write the fraction as a decimal:
𝐷 𝑁. 00
𝟑
𝟖
0.3 7 5
8 3.0 0 0
-2 4
6 0
-5 6
4 0
-4 0
0
Answer: 0.375
Remember!
The denominator is the divisor (outside) and the numerator is the dividend
(inside).
ARTH-7-22 | Page 1
Practice
Problems
Write the following fractions as decimals.
1.
2.
3.
See also
Practice
3
4
9
16
4
11
ARTH-2-11: divide - whole numbers - single digit divisors
ARTH-2-12: divide - whole numbers - multiple digit divisors
ARTH-8-10: divide - decimals - whole number divisor
Answers
0.75
0.5625
ARTH-7-22 | Page 2
̅̅̅̅
0.363636 … = 0. 36