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Result:
1 2/3 * 3 1/2 = 35/6 = 5 5/6 ≅ 5.8333333
Spelled result in words is thirty-five sixths (or five and five sixths).
Conversion a mixed number 1 2/3 to a improper fraction: 1 2/3 = 1 2/3 = 1 · 3 + 2/3 = 3 + 2/3 = 5/3To find a new numerator:a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/3 = 3/3b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5c) Write a previous answer (new numerator 5) over the denominator 3.One and two thirds is five thirds Conversion a mixed number 3 1/2 to a improper fraction: 3 1/2 = 3 1/2 = 3 · 2 + 1/2 = 6 + 1/2 = 7/2To find a new numerator:a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/2 = 6/2b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7c) Write a previous answer (new numerator 7) over the denominator 2.Three and one half is seven halfs
Rules for expressions with fractions: Fractions – use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.Mixed numerals (mixed numbers or fractions) keep one space between the integer andfraction and use a forward slash to input fractions i.e., 12/3 . An example of a negative mixed fraction: -5 1/2.Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions – i.e. 1.45.
Math Symbols
| + | plus sign | addition | 1/2 + 1/3 |
| – | minus sign | subtraction | 1 1/2 – 2/3 |
| * | asterisk | multiplication | 2/3 * 3/4 |
| × | times sign | multiplication | 2/3 × 5/6 |
| : | division sign | division | 1/2 : 3 |
| / | division slash | division | 1/3 / 5 |
| : | colon | complex fraction | 1/2 : 1/3 |
| ^ | caret | exponentiation / power | 1/4^3 |
| () | parentheses | calculate expression inside first | -3/5 – (-1/4) |
Examples: • adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 – 1/2• multiplying fractions: 7/8 * 3/9• dividing Fractions: 1/2 : 3/4• reciprocal of a fraction: 1 : 3/4• square of a fraction: 2/3^2• cube of a fraction: 2/3^3• exponentiation of a fraction: 1/2^4• fractional exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• Fraction to Decimal: 1/4• Fraction to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a fraction by a whole number: 6 * 3/4• square root of a fraction: sqrt(1/16)• reducing or simplifying the fraction (simplification) – dividing the numerator and denominator of a fraction by the same non-zero number – equivalent fraction: 4/22• expression with brackets: 1/3 * (1/2 – 3 3/8)• compound fraction: 3/4 of 5/7• fractions multiple: 2/3 of 3/5• divide to find the quotient: 3/5 ÷ 2/3
The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are: PEMDAS – Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. BEDMAS – Brackets, Exponents, Division, Multiplication, Addition, Subtraction BODMAS – Brackets, Of or Order, Division, Multiplication, Addition, Subtraction. GEMDAS – Grouping Symbols – brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
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MDAS – Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule. Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.
