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

vestirme4

vestirme4

Answered question

2021-11-07

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?

Answer & Explanation

rogreenhoxa8

rogreenhoxa8

Skilled2021-11-08Added 109 answers

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,
wholeνmerardenominar=(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.

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