Find two fractions between 12 and 67

Step 1 The fractions given are 12 &amp; 67 Step 2 The fractions are 12 &amp; 67 The least common denominator of 2 and 7 is 14 12=1×72×7 12=714 Also 67=6×27×2 67=1214 The fractions between 714 &amp; 67=1214 are 12=714&lt;814&lt;914&lt;1014&lt;1114&lt;1214=67 Therefore, the fractions between 12 &amp; 67 are 814,914,1014 &amp; 1114

Solved: "Find two fractions between 12 and "

High School
Algebra
Pre-Algebra
Fractions

Cem Hayes

Answered question

2021-10-25

Find two fractions between

\frac{1}{2} and \frac{6}{7}

Answer & Explanation

Ayesha Gomez

Skilled2021-10-26Added 104 answers

Step 1
The fractions given are $\frac{1}{2} & \frac{6}{7}$
Step 2
The fractions are $\frac{1}{2} & \frac{6}{7}$
The least common denominator of 2 and 7 is 14
$\frac{1}{2} = \frac{1 \times 7}{2 \times 7}$ $\frac{1}{2} = \frac{7}{14}$
Also
$\frac{6}{7} = \frac{6 \times 2}{7 \times 2}$
$\frac{6}{7} = \frac{12}{14}$
The fractions between $\frac{7}{14} & \frac{6}{7} = \frac{12}{14} are \frac{1}{2} = \frac{7}{14} < \frac{8}{14} < \frac{9}{14} < \frac{10}{14} < \frac{11}{14} < \frac{12}{14} = \frac{6}{7}$
Therefore, the fractions between $\frac{1}{2} & \frac{6}{7} are \frac{8}{14}, \frac{9}{14}, \frac{10}{14} & \frac{11}{14}$

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