Answer:
Conversion a mixed number 3 2/7
to an improper fraction: 3 2/7 = 3 2/7
= 3 · 7 + 2/7
= 21 + 2/7
= 23/7
To find a new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7/7
= 21/7
b) Add the answer from the previous step 21 to the numerator 2. New numerator is 21 + 2 = 23
c) Write a previous answer (new numerator 23) over the denominator 7.
Three and two sevenths is twenty-three sevenths.
Conversion a mixed number 4 3/5
to a improper fraction: 4 3/5 = 4 3/5
= 4 · 5 + 3/5
= 20 + 3/5
= 23/5
To find a new numerator:
a) Multiply the whole number 4 by the denominator 5. Whole number 4 equally 4 * 5/5 = 20/5
b) Add the answer from the previous step 20 to the numerator 3. New numerator is 20 + 3 = 23
c) Write a previous answer (new numerator 23) over the denominator 5.
Four and three-fifths is twenty-three-fifths.
Subtract: 23/7 - 23/5
= 23 · 5/7 · 5 - 23 · 7/5 · 7
= 115/3 - 161/35
= 115 - 161/35
= -46/35
Hope this helps! :)