Julia bought 534 pounds of potatoes at the farmers market. Leeyana bought 15 pounds of potatoes. Gabriela bought 112 pounds of potatoes. How many pounds of potatoes did they buy in all?

Question

rogreenhoxa8 · Accepted Answer

Step 1  The addition(subtraction) between two like fractions can be done by adding(subtracting) the numerators of both fractions by fixing same denominator to the result. Like fractions are the fraction with the same denominator.  For the addition (subtraction) between two unlike fractions, first we have to convert both denominators of the fractions to the same value. This can be done by finding the LCM(Least Common multiple) of the denominators of the fractions. We can multiply and divide both the fractions by suitable constant to produce the same value in both denominators.  The mixed fraction can be converted to an improper fraction as,  wholeνmera→rdenomina→r=(whole×denominator)+numeratordenominator  Step 2  The number of pounds of potatoes bought by Julia is 534  The number of pounds of potatoes bought by Leeyana is 15  The number of pounds of potatoes bought by Gabriela is 112  The total number of pounds of potatoes bought by Julia, Leeyana, and Gabriela is (1) 534+15+112  Now convert the mixed fractions to an improper fractions,  534=(5×4)+34  =20+34  =234  112=(1×2)+12  =2+12  =32  Now we can simplify the addition expression (1),  534+15+112=234+15+32  =(234+32)+15  =(234+32×22)+15  =234+64+15  =294+15  =294×55+15×44  {the LCM of (4, 2)=4, (4, 5)=20 convert to the denominators}  =14920  =7920  Hence the total number of pounds of potatoes bought by Julie, Leeyana, and Gabriela is 7920 pounds.

Julia bought 5\frac{3}{4} pounds of potatoes at the farmers market. Leeyan

Answered question

Answer & Explanation

New Questions in Pre-Algebra