6 kilograms of sugar left. How much sugar did Letty have in the beginning?...

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September 2022 1 2 Report

After using 2 2/5 kilograms of sugar to make cakes, Letty still have 3 4/6 kilograms of sugar left. How much sugar did Letty have in the beginning?

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Jinjinjjara

Verified answer

Answer:

$\sf{} 6 \frac{1}{15} \\$

Step-by-step explanation:

$\\ \sf{} =2 \frac{2}{5} + 3 \frac{4}{6}$

$\\ \sf{} =2 \frac{2}{5} + 3 \frac{2}{3}$

Seραrate and add the whole numbers.

$\\ \sf{} =2 + 3 + \frac{2}{5} + \frac{2}{3}$

$\\ \sf{} =5 + \frac{2}{5} + \frac{2}{3}$

LCD is 15. Make the denominators the same as the LCD.

$\\ \sf{} =5 + \frac{2 \times 3}{5 \times 3} + \frac{2 \times 5}{3 \times 5}$

$\\ \sf{} =5 + \frac{6}{15} + \frac{10}{15}$

$\\ \sf{} =5 + \frac{6 + 10}{15}$

$\\ \sf{} =5 + \frac{16}{15}$

$\\ \sf{} =5 + 1 \frac{1}{15}$

$\\ \huge \boxed{\sf{} = 6 \frac{1}{15} } \\ \\ \\ \\ \\$

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