Fractions/Mixed Numbers to Decimals
COMPLETE THE PHRASE: FRACTIONS ARE . . .
DIVISION PROBLEMS
WHAT IS THE NAME OF THIS DECIMAL?
.06
SIX HUNDREDTHS
BONUS: AS A FRACTION IT WOULD BE WRITTEN AS
6/100 AND THEN SIMPLIFIED.
WHEN WRITING DECIMALS AS PERCENTS YOU . . .
MULTIPLY THE DECIMAL BY 100.
OR
MOVE THE DECIMAL TWO PLACES TO THE RIGHT
TIP: DECIMAL AS A PERRRCENT
AND ADD THE PERCENT SIGN AT THE END.
FINISH THE PHRASE:
PERCENT MEANS . . .
OF 100
SO 95% = 95/100
DON'T FORGET TO SIMPLIFY WHENEVER YOU ARE CONVERTING TO FRACTIONS!
95/100 = (DIVIDE TOP AND BOTTOM BY 5) = 19/20
COMPLETE THE PHRASE:
FRACTIONS ARE
HINT: When converting fractions to percents. Divide the numerator (top) by denominator (bottom). Then move the decimal two places to the right.
USING A CALCULATOR CONVERT 3/5 TO A DECIMAL
3 ÷ 5 = .6
WRITE THIS DECIMAL AS A FRACTION IN SIMPLEST FORM.
.7
7/10
WHEN WRITING A PERCENT AS A DECIMAL YOU . . .
DROP THE PERCENT SIGN
DIVIDE THE PERCENT BY 100.
OR
MOVE THE DECIMAL TWO PLACES TO THE LEFT
HINT: PERCENT AS A DECIMALLL
WRITE 73% AS A FRACTION
73/100
Write 7/10 as a percent.
7 ÷ 10 = .7
.7 → 7. → 70.
7/10 = 70%
WRITE THE FRACTION 1/20 AS A DECIMAL
1 ÷ 20 = .05
WRITE THIS DECIMAL AS A FRACTION IN SIMPLEST FORM
.15
15/100 ÷ 5 (COMMON FACTOR)
15 ÷ 5 = 3
100 ÷ 5 = 20
15/100 = 3/20
WRITE 95% AS A DECIMAL
.95
WRITE 80% AS A FRACTION IN SIMPLEST FORM.
80/100
80 ÷ 20
100 ÷ 20
80/100 = 4/5
Write 3/4 as a percent.
3 ÷ 4 = .75
.75 → 7.5 → 75.
3/4 = 75%
WHAT DO YOU DO WITH THE WHOLE NUMBER WHEN YOU ARE CONVERTING A MIXED NUMBER TO A DECIMAL?
SET THE WHOLE NUMBER ASIDE.
3 1/4 -----> 3 1/4
BONUS: THEN YOU DIVIDE THE FRACTION AND RECONNECT IT TO THE WHOLE NUMBER.
1 ÷ 4 = .25 ↴
3.25
WHAT DO YOU DO WITH THE WHOLE NUMBER OF A DECIMAL WHEN YOU ARE CONVERTING IT TO A MIXED NUMBER.
SET THE WHOLE NUMBER ASIDE.
BONUS:
THEN CONVERT THE DECIMAL TO A FRACTION, BY SAYING IT'S NAME AND WRITING IT AS IT SOUNDS.
FINALLY, SIMPLIFY AND REATTACH TO THE WHOLE NUMBER!
WRITE .8 AS A PERCENT.
80%
8% IS WRONG. DON'T FORGET TO MOVE IT TWO PLACES!
WRITE 2% AS A FRACTION IN SIMPLEST FORM.
2/100
2 ÷ 2 = 1
100 ÷ 2 = 50
2/100 = 1/50
If you scored 18/25 on a quiz, what percentage did you score?
18 ÷ 25 = .72
.72 → 7.2 → 72.
18/25 = 72%
WRITE THE MIXED NUMBER AS A FRACTION
2 12/75
2.16
WRITE THE 3.55 AS A MIXED NUMBER
3 55/100
55 ÷ 5 = 11
100 ÷ 5 = 20
3 55/100 = 3 11/20
70%
Write 94% as a fraction in simplest form.
94/100
Divide top and bottom by 2.
47/50
If you score 42/50 on an exam, what proficiency score (Meets, Near Meets, Does Not Meets) did you get on the test? Defend you answer by showing the math.
42 ÷ 50 = .84
.84 → 8.4 → 84.
42/50 = 84%
84% = M