Question

Determine which fraction is larger 3/7 or 1/3 find the common denominator

Answer 1

Answer:

• LCM is 21

${:}\leadsto$$\sf {\dfrac {3}{7}}$

${:}\leadsto$$\sf {\dfrac {3×3}{7×3}}$

${:}\leadsto$$\sf {\dfrac {9}{2}}$

• .

${:}\leadsto$$\sf {\dfrac {1}{3}}$

${:}\leadsto$$\sf {\dfrac {1×7}{3×7}}$

${:}\leadsto$$\sf {\dfrac {7}{21}}$

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${:}\leadsto$$\sf {\dfrac {9}{21}}\iff {\dfrac {7}{21}}$

${:}\leadsto$$\sf {\dfrac{9}{21}} \gt {\dfrac {7}{21}}$

$\therefore$$\sf {\dfrac {3}{7}} \gt {\dfrac {7}{21}}$