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# Decimal Fractions

### Decimal Fractions Calculations

TermDefinition
Numerator The top number of a fraction which tells how many parts of the object are being used.
Denominator The bottom number of a fraction which tells how many parts the whole is divided into.
Fraction Is part of a whole.
Equivalent Equal in value, amount, function, meaning,... Can be a fraction, decimal or percentage.
Simplify Replace an expression with its simplest name or form. Can be fraction, decimal or percentage.
Mixed Fraction A fraction consisting of a whole number and a proper fraction combined. Eg 1 & 1/3.
Improper Fraction A fraction in which the numerator is greater than or equal to the denominator; examples: 5/5 or 7/4.
Proper Fraction A fraction where the denominator is larger than the numerator eg. 1/2, 4/5.
Adding / Subtracting Fractions First make sure the Fractions are Improper or Proper and the Denominators must be the same.
Finding Fractions of Amounts Divide amount by the Denominator then Multiply by the Numerator.
Decimals into Percentages Multiply by 100.
Percentages into Decimals Divide by 100.
Percent "Out of 100"
Write and solve. If Jason spends 2 1/2 hours more at camp, he will complete 9 hours of camp counseling. How many hours has he worked as a counselor so far? 9 - 2 1/5; 9 - 2 = 7 He has worked 6 4/5, so if you were to round it, he would have worked about 7 hours.
Write and solve. One and one-half years ago, Steven was 5 years old. How old is he now? n - 1/2 = 5; 6 1/2 years old
2.5 + (6.2 -1.1) 7.6
(6.1 +2.3)0.5 + 0.35 ÷ 0.5 11.2
(2.8 - 1.8) ∙ (4.3 + 2.1 ÷ 0.7) 7.3
(7)(-2) + (9.2 - 2.2)(-3.6 - 6.4) + | -5 + 7 + 1 | -81
0.3(2.5 - 2.3) + 4.2 ÷ 6 0.76
7.1 + 0.5 ∙ 3.2 8.7
numerical expression A math phrase using only numbers and one or more operation symbols (+, -, X, /)
algebraic expression A math phrase using numbers, an operation (addition, subtraction, multiplication, division) and a VARIABLE.