Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

find the difference 34/31 - 9/45

Sagot :

chibabykalu16

Answer:

[tex] \sf \frac{34}{31} - \frac{9}{45} = \frac{139}{155} [/tex]

Step-by-step explanation:

[tex] \sf \frac{34}{31} - \frac{9}{45} = \, ?[/tex]

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(34/31, 9/45) = 1395

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

[tex] \sf \left(\frac{34}{31} \times \frac{45}{45}\right) - \left(\frac{9}{45} \times \frac{31}{31}\right) = \, ?[/tex]

Complete the multiplication and the equation becomes

[tex] \sf \frac{1530}{1395} - \frac{279}{1395} = \, ?[/tex]

The two fractions now have like denominators so you can subtract the numerators.

Then:

[tex] \sf \frac{1530 - 279}{1395} = \frac{1251}{1395}[/tex]

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 1251 and 1395 using

GCF(1251,1395) = 9

[tex] \sf \frac{1251 \div 9}{1395 \div 9} = \frac{139}{155} [/tex]

Therefore:

[tex] \sf \frac{34}{31} - \frac{9}{45} = \frac{139}{155} [/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.