You are watching: 5/7 divided by 7/10
7/10 : 1/2 = 7/5 = 1 2/5 = 1.4Spelled result in indigenous is 7 fifths (or one and also two fifths).
Divide: 7/10 : 1/2 = 7/10 · 2/1 = 7 · 2/10 · 1 = 14/10 = 2 · 7 /2 · 5 = 7/5 splitting two fractions is the exact same as multiply the first fraction by the reciprocal value of the 2nd fraction. The very first sub-step is to find the reciprocal (reverse the numerator and also denominator, mutual of 1/2 is 2/1) the the second fraction. Next, multiply the two numerators. Then, multiply the 2 denominators. In the following intermediate step, release by a usual factor the 2 gives 7/5. In various other words - seven tenths divided by one half = 7 fifths.
Rules because that expressions through fractions: Fractions - just use a front slash in between the numerator and also denominator, i.e., for five-hundredths, go into 5/100. If you space using mixed numbers, be certain to leaving a solitary space in between the whole and portion part.The slash separates the numerator (number above a portion line) and denominator (number below).Mixed numerals (mixed fractions or combined numbers) compose as creature separated by one room and portion i.e., 12/3 (having the exact same sign). An instance of a an adverse mixed fraction: -5 1/2.Because slash is both indicators for fraction line and division, us recommended usage colon (:) together the operator of department fractions i.e., 1/2 : 3.Decimals (decimal numbers) go into with a decimal allude . and also they are instantly converted to fountain - i.e. 1.45.The colon : and also slash / is the price of division. Can be supplied to divide blended numbers 12/3 : 43/8 or can be offered for write facility fractions i.e. 1/2 : 1/3.An asterisk * or × is the symbol for multiplication.Plus + is addition, minus sign - is subtraction and also ()<> is mathematics parentheses.The exponentiation/power symbol is ^ - because that example: (7/8-4/5)^2 = (7/8-4/5)2
Examples: • including fractions: 2/4 + 3/4• individually fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• dividing Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• splitting integer and also fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• fraction to Decimal: 1/4• portion to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a fraction by a whole number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reducing or simplifying the fraction (simplification) - splitting the numerator and denominator the a portion by the same non-zero number - indistinguishable fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fractions multiple: 2/3 of 3/5• divide to discover the quotient: 3/5 ÷ 2/3The calculator follows famous rules because that order that operations. The most typical mnemonics for remembering this bespeak of operations are: PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction BODMAS - Brackets, that or Order, Division, Multiplication, Addition, Subtraction.
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GEMDAS - Grouping symbols - brackets (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, always do multiplication and division before addition and also subtraction. Some operators (+ and -) and also (* and /) has the very same priority and then have to evaluate indigenous left to right.