We will discuss here about dividing fractions by a wholenumber, by a spring number or by an additional mixed fractional number.
You are watching: 3/12 divided by 4
First let united state recall how to find reciprocal the a fraction, weinterchange the numerator and also the denominator.
Solution: 3/5 ÷ 12 = 3/5 ÷ 12/1 = 3/5 × 1/12 = (3 × 1)/(5 × 12) = 3/60 = 1/20  Step I: discover the reciprocal of the entirety number and multiplywith the fractional number as usual. Step II: refer the product in its shortest terms. 
= 5/7 ÷ 10/1 = 5/7 × 1/10 = (5 × 1)/(7 × 10) = 5/70  Step I: discover the mutual of the totality number and multiplywith the fountain number together usual. Step II: refer the product in its lowest terms. 
Solution: 7/8 ÷ 1/5 = 7/8 × 5/1 = (7 × 5)/(8 × 1) = 35/8 = 4 3/8  Step I: find reciprocal that 1/5. Step II: multiply 7/8 by it. Step III: refer the product in its simplest form. 
Solution: 5/9 ÷ 10/18 = 5/9 × 18/10 = (5 × 18)/(9 × 10) = 90/90 = 1  Step I: find reciprocal the 1/5. Step II: main point 7/8 through it. Step III: to express the product in its easiest form. 
Solution: 2 ¾ ÷ 1 2/3 = 11/4 ÷ 5/3 = 11/4 × 3/5 = (11 × 3)/(4 × 5) = 33/20 = 1 13/20  Express the mixed numbers as improper fractions and also multiplyas usual. 
Solution: 2 4/17 ÷ 1 4/17 = 38/17 ÷ 21/17 = 38/17 × 17/21 = (38 × 17)/(17 × 21) = 646/357 = 38/21 = 1 17/21  Express the combined numbers as improper fractions and multiplyas usual. 
Related Concept
● Fractionof a entirety Numbers
● Representationof a fraction
● EquivalentFractions
● Propertiesof equivalent Fractions
● prefer andUnlike Fractions
● Comparisonof favor Fractions
● Comparisonof Fractions having the exact same Numerator
● varieties ofFractions
● transforming Fractions
● Conversionof Fractions into Fractions having Same Denominator
● Conversionof a portion into that is Smallest and also Simplest Form
● Additionof Fractions having actually the very same Denominator
● Subtractionof Fractions having the very same Denominator
● Additionand subtraction of fractions on the portion Number Line
4th Grade mathematics Activities
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