Answer:
[tex]\frac{10}{21} [/tex]
Step-by-step explanation:
([tex]\frac{2}{3} [/tex] × [tex]\frac{3}{7} [/tex]) + ([tex]\frac{2}{3} [/tex] × [tex]\frac{2}{7} [/tex])
Multiply [tex]\frac{2}{3} [/tex] times [tex]\frac{3}{7} [/tex] by multiplying numerator times numerator and denominator times denominator.
[tex]\frac{2x3}{3x7} [/tex] + [tex]\frac{2}{3} [/tex] × ([tex]\frac{2}{7} [/tex])
Cancel out 3 in both numerator and denominator.
[tex]\frac{2}{7} [/tex] + [tex]\frac{2}{3} [/tex] × ([tex]\frac{2}{7} [/tex])
Multiply [tex]\frac{2}{3} [/tex] times [tex]\frac{2}{7} [/tex] by multiplying numerator times numerator and denominator times denominator.
[tex]\frac{2}{7} [/tex] + [tex]\frac{2x2}{3x7} [/tex]
Do the multiplications in the fraction [tex]\frac{2x2}{3x7} [/tex]
[tex]\frac{2}{7} [/tex] + [tex]\frac{4}{21} [/tex]
The least common multiple of 7 and 21 is 21. Convert [tex]\frac{2}{7} [/tex] and [tex]\frac{4}{21} [/tex] to fractions with denominator 21.
[tex]\frac{6}{21} [/tex] + [tex]\frac{4}{21} [/tex]
Since [tex]\frac{6}{21} [/tex] and [tex]\frac{4}{21} [/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{6+4}{21} [/tex]
Add 6 and 4 to get 10.
[tex]\frac{10}{21} [/tex]
Hope this helps and have a great day! =D
