Answer:
a) 3 ÷ 6/7 = 3 [tex]\frac{1}{2}[/tex] b) 6/7 ÷ 3 = [tex]\frac{2}{7}[/tex] c) 7[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{2}[/tex] = 15
Step-by-step explanation:
a) 3 ÷ 6/7
To simplify this, you can change the division sign to multiplication by inverting the fraction
That is;a) 3 ÷ 6/7= 3 × 7/6 = [tex]\frac{21}{6}[/tex] , we can reduce the fraction by dividing the numerator and denominator by 3
That is [tex]\frac{21}{6}[/tex] = [tex]\frac{7}{2}[/tex] = 3 [tex]\frac{1}{2}[/tex]
Therefore, 3 ÷ 6/7 = 3 [tex]\frac{1}{2}[/tex]
b) 6/7 ÷ 3
To simplify this, we will change the division sign to multiplication sign, and then we will invert 3 to become 1/3
[tex]\frac{6}{7}[/tex] ×[tex]\frac{1}{3}[/tex] = [tex]\frac{6}{21}[/tex] we can reduce the fraction to its lowest term by dividing the numerator and the denominator by 3
That is; [tex]\frac{6}{21}[/tex] = [tex]\frac{2}{7}[/tex]
Therefore;
6/7 ÷ 3 = [tex]\frac{2}{7}[/tex]
c) 7[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]
To simplify this, we will first change the mixed fraction to improper fraction
That is 7[tex]\frac{1}{2}[/tex] = [tex]\frac{15}{2}[/tex]
7[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{15}{2}[/tex] ÷ [tex]\frac{1}{2}[/tex] , we will now change the division to multiplication, which make us invert [tex]\frac{1}{2}[/tex] to become 2
[tex]\frac{15}{2}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{15}{2}[/tex] × 2 The two in the numerator will cancel-out the two in the denominator, thereby leaving us with just 15
That is;
[tex]\frac{15}{2}[/tex] × 2 = 15
Therefore;
7[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{2}[/tex] = 15
