Bạn đang xem: What is 3 1/3 of 2 1/4
Result:
(2 1/3) : (1/4) = 28/3 = 9 1/3 ≅ 9.3333333
Spelled result in words is twenty-eight thirds (or nine and one third).Conversion a mixed number 2 1/3 lớn a improper fraction: 2 1/3 = 2 1/3 = 2 · 3 + 1/3 = 6 + 1/3 = 7/3To find a new numerator:a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3b) add the answer from previous step 6 khổng lồ the numerator 1. New numerator is 6 + 1 = 7c) Write a previous answer (new numerator 7) over the denominator 3.Two và one third is seven thirds Divide: 7/3 : 1/4 = 7/3 · 4/1 = 7 · 4/3 · 1 = 28/3 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is khổng lồ find the reciprocal (reverse the numerator and denominator, reciprocal of 1/4 is 4/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.In other words - seven thirds divided by one quarter = twenty-eight thirds.
Rules for expressions with fractions: Fractions - use a forward slash khổng lồ 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 & 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 . và they are automatically converted to lớn 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 & fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to lớn fraction: 0.625• Fraction khổng lồ Decimal: 1/4• Fraction lớn 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 và 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 phần tư of 5/7• fractions multiple: 2/3 of 3/5• divide lớn 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.
Xem thêm: Lãi Nhập Vốn Là Gì ? Gửi Tiết Kiệm Thế Nào Cho Hiệu Quả? Lãi Nhập Gốc Là Gì
MDAS - Multiplication & Division have the same precedence over Addition và Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule. Be careful; always bởi vì multiplication & division before addition và subtraction. Some operators (+ and -) and (* và /) has the same priority & then must evaluate from left lớn right.