Calculator adding fractions and mixed numbers
8/5 + 6 2/7 = 27635 = 73135 ≅ 7.8857143
Spelled result in words is two hundred seventy-six thirty-fifths. Calculation steps
- Conversion a mixed number to a improper fraction: 6 2/7 = 6 27 = 6 · 7 + 27 = 42 + 27 = 447
To find new numerator:
a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 77 = 427
b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44
c) Write previous answer (new numerator 44) over the denominator 7. - Add: 85 + 447 = 8 · 75 · 7 + 44 · 57 · 5 = 5635 + 22035 = 56 + 22035 = 27635
The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 7) = 35. The fraction result cannot be further simplified by cancelling.
In words - eight fifths plus forty-four sevenths = two hundred seventy-six thirty-fifths.
Calculate the next expression:
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
Examples:
• addition of fractions: 2/4 + 3/4• adds proper and improper fractions: 4/6+1/8
• adding fractions and mixed numbers: 8/5 + 6 2/7
• subtraction fractions: 2/3 - 1/2
• multiplying a fraction by another fraction - multiplication: 7/8 * 3/9
• division of fractions: 1/2 : 3:4
• complex fractions: 5/8 : 2 2/3
• what is: 1/12 divided by 1/4
• converting a decimal to a fraction: 0.125 as a fraction
• comparing fractions: 1/4 2/3
• multiplying a fraction by a whole number: 6 * 3/4
• dividing integer and fraction: 5/5 ÷ 1/2
• exponentiation of fraction: 3/5^3
• fractional exponents: 16 ^ 1/2
• 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
• mixed numbers and decimals: 1.5 - 1 1/5
• subtracting mixed number and fraction: 1 3/5 - 5/6
• operations with mixed fractions: 8 1/5 + 9 1/2
• expression with brackets: 1/3 * (1/2 - 3 3/8)
• convert a fraction to a percentage: 3/8 %
• conversion between fractions and decimals: 5/8
• compound fraction: 3/4 of 5/7
• fractions multiple: 2/3 of 3/5
• divide to find the quotient: 3/5 ÷ 2/3
• viral Japanese fraction problem (order of operations with fractions) : 9 - 3 ÷ 1/3 + 1
Calculator follows well-known rules for order of operations. 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.
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.