$How do you do division with fractions$

$how do you do division with fractions$

Other strategies to solve fraction division problems Students still needВ to be asked why they 'swapped' the fraction. As a result this strategy could be a learnedВ procedure rather than reflecting students understanding of multiplicative inverse. This relates to the definition ofВ division shown above.ДЇor example, 5/7 Г· 2/3 becomes 5/7 Г— 3/2 (inverted divisor) which can be solved using basic factsВ and a basic understanding of writing fractional notation. The rationale behind this is that multiplication and division have anВ inverse relationship (a Year 8 National standard) and multiplying by the inverse is the same asВ dividing by the number (i.e., a Г· b = a Г— 1/b or a lots of 1/b). Using the multiplicative inverse (understanding or procedure?)ДЇor solving division problems with fractions many students have learnt that they can swap theВ denominator and numerator of one of the fractions (not always the correct one) and multiply (notВ necessarily knowing why). Using quotitive lens this could be asked how many 4/5 in 2/5? Using quotitive lens this could beВ asked how many 2/5 in 4/5?ДЄn example where the quotient is less than one is 2/5 Г· 4/5. The latter is more common in division problems and tends to be easier to conceptualise orВ represent.ДЄn example where the quotient is greater than one is 4/5 Г· 2/5. This solution is immediately obvious and simple (in this case).В Interpreting fraction division problems as quotitive division work for problems where the quotientВ is greater than (the dividend is greater than the divisor) or less than one (the dividend is less than theВ divisor). Quotitive division canВ involve holding the 1/3 as a reference unit and interpreting the 2/3 in terms of another unit (calledВ unitising).

$how do you do division with fractions$

The problem: 2/3 Г· 1/3, would be phrased How many 1/3s in 2/3?. Quotitive division (quotition) involves finding how many groups of a given size (divisor) will goВ into a given quantity (dividend).ДЇor example the question 72 Г· 8 could be read as how manyВ groups of 8 go into 72?ДЄpplying the quotitive lens to fraction problems can help to visualise,В represent and conceptualise (and ultimately solve with understanding about the number propertiesВ involved).

$how do you do division with fractions$

This is not easy toВ explain or give a real life example of. Fraction division problems can be especially difficult to conceptualise using the partitiveВ division: The problem, 2/3 Г· 1/3, would be phrased 2/3 shared amongst 1/3. For example the question 72 Г· 8 could be read as 72 shared between 8 groups. Partitive division (partition) involves sharing a quantity (dividend) between a given numberВ (divisor) of equal-sized groups. The division operation can take two forms: partitive division and quotitive division: In mathematics division can be defined as the inverse of multiplication:Д¬ Г— b = a, aвЃ„ b = c (a Г· b = c), or dividendвЃ„ divisor = quotient Dividing one fraction by another fraction can be a difficult maths problem to conceptualise,В represent, or solve with understanding.

$How do you do division with fractions$