Question

Find the actual sum of 1 3/4 + 1 5/8 to determine how much David grew in two years. Explain how you know your answer is reasonable

Answer 1

Answer:

$3\frac{3}{8}$

Step-by-step explanation:

Find the sum

$1\frac{3}{4} +1\frac{5}{8}$

we know that

$\frac{3}{4}=\frac{6}{8}$

substitute

$1\frac{6}{8} +1\frac{5}{8}$

step 1

Separate the mixed number into a whole number and a fraction number

$1+\frac{6}{8} +1+\frac{5}{8}$

step 2

Group the whole numbers an the fraction numbers

$(1+1)+(\frac{6}{8} +\frac{5}{8})$

step 3

Combine like terms

$(2)+(\frac{11}{8})$

Remember that

$\frac{11}{8}=\frac{8}{8}+\frac{3}{8}=1+\frac{3}{8}$

substitute

$2+1+\frac{3}{8}$

$3+\frac{3}{8}=3\frac{3}{8}$

The answer is reasonable

Because

I know that 1 3/4 < 2 and 1 5/8 < 2

so

The sum of both numbers must be less than 4