Question

What is 3 1/7 - 1 3/4

Answer 1

let's firstly convert the mixed fractions to improper fractions.

`\stackrel{mixed}{3(1)/(7)}\implies \cfrac{3\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{22}{7}}~\hfill \stackrel{mixed}{1(3)/(4)} \implies \cfrac{1\cdot 4+3}{4} \implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{22}{7}-\cfrac{7}{4}\implies \cfrac{(4)(22)~~ - ~~(7)(7)}{\underset{\textit{using this LCD}}{28}}\implies \cfrac{88-49}{28} \\\\\\ \cfrac{39}{28}\implies {\Large \begin{array}{llll} 1(11)/(28) \end{array}}`

Answer 2

39/28 or 1 11/28

Explanation:

To solve 3 1/7 - 1 3/4, we can first convert the mixed numbers to fraction.

3 1/7 = 3/1 + 1/7 = 22/7

1 3/4 = 1/1 + 3/4 = 7/4

Now we have:

3 1/7 - 1 3/4 = 22/7 - 7/4

To subtract fractions, they must have the same denominator. We can find the common denominator by multiplying the two denominators together.

7 × 4 = 28

Now we can rewrite the fractions with a denominator of 28:

22/7 × 4/4 = 88/28

7/4 × 7/7 = 49/28

Now we have:

3 1/7 - 1 3/4 = 88/28 - 49/28

Subtracting the two fractions, we get:

88/28 - 49/28 = 39/28 or 1 11/28.

Therefore, 3 1/7 - 1 3/4 = 39/28 or 1 11/28.