Question

1\frac{4}{5} + 4\frac{4}{7} = 1\frac{28}{35} + 4\frac{20}{35}

= 5\frac{48}{35}

= 5 + 1\frac{?}{35}

= 6\frac{?}{35}

Explanation:

Step1: Analyze the improper fraction

We have the mixed number \(5\frac{48}{35}\). To convert the improper fraction part \(\frac{48}{35}\) into a mixed number, we divide the numerator by the denominator.

Step2: Divide 48 by 35

When we divide 48 by 35, we get a quotient of 1 and a remainder. The remainder is \(48 - 35\times1=48 - 35 = 13\). So, \(\frac{48}{35}=1\frac{13}{35}\). Therefore, the first blank (the numerator in \(1\frac{?}{35}\)) is 13.

Step3: Simplify the final mixed number

Now, we have \(5 + 1\frac{13}{35}\). Combining the whole numbers \(5+1 = 6\), and the fractional part remains \(\frac{13}{35}\). So the second blank (the numerator in \(6\frac{?}{35}\)) is also 13.

Answer:

First blank: 13, Second blank: 13 (In the order of the blanks in the problem, the first "?" is 13 and the second "?" is 13)