JULIEN'S GOATED FRANCTIONS JEAPARDY

Witch one's bigger

100

2/4 or 12\24

What is their equal

200

1\4 or 2\6

What is 2\6

300

17\18 or 18\20

What is 18\20

1000

Trick Question

28\35 or 24\29

What is their Equal

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What you're solving for 

 Determining which fraction, 

283528 over 35 end-fraction

 or 

243024 over 30 end-fraction

, is larger. 

 What's given in the problem 

• The first fraction is 
  283528 over 35 end-fraction.
• The second fraction is 
  243024 over 30 end-fraction
• Compare the two fractions by finding a common denominator or converting them to decimals. 

1.  Step 1 Find a common denominator 

• The common denominator is 
  105105.
• Convert 
  283528 over 35 end-fraction
   to have a denominator of 
  105105:
  2835=28×335×3=8410528 over 35 end-fraction equals the fraction with numerator 28 cross 3 and denominator 35 cross 3 end-fraction equals 84 over 105 end-fraction.
• Convert 
  243024 over 30 end-fraction
   to have a denominator of 
  105105:
  • 2430=24×730×7=16821024 over 30 end-fraction equals the fraction with numerator 24 cross 7 and denominator 30 cross 7 end-fraction equals 168 over 210 end-fraction.
  • 2430=24×3.530×3.5=8410524 over 30 end-fraction equals the fraction with numerator 24 cross 3.5 and denominator 30 cross 3.5 end-fraction equals 84 over 105 end-fraction.
• Compare the numerators: 
  • 8410584 over 105 end-fraction
     and 
    8410584 over 105 end-fraction.
• 84105=8410584 over 105 end-fraction equals 84 over 105 end-fraction
  2.  Step 2 Determine the larger fraction 

• Since both fractions are equivalent, they are equal
• solution

 The two fractions are equal.