add and simplify
96/125 + 83/125 + 2/15 =
hint: LCD = 375
96/125 = (3*96)/(3*125)= 288/375
83/125 = (3*83)/(3*125)= 249/375
2/15 =(25*2)/(25*15) = 50/375
96/125+83/125+2/15 = (288+249+50)/375 = 587/375
To add and simplify the given fractions:
Step 1: Find a common denominator for all the fractions. In this case, the common denominator is 125.
Step 2: Rewrite each fraction with the common denominator:
96/125 + 83/125 + 2/15 = (96 + 83)/125 + 2/15
Step 3: Add the numerators while keeping the common denominator:
(96 + 83)/125 + 2/15 = 179/125 + 2/15
Step 4: To add fractions, we need the common denominator. To find the common denominator between 125 and 15, we can multiply them together: 125 * 15 = 1875.
Step 5: Rewrite each fraction with the common denominator:
179/125 + 2/15 = (179 * 15)/(125 * 15) + (2 * 125)/(15 * 125)
Step 6: Simplify each fraction:
(179 * 15)/(125 * 15) + (2 * 125)/(15 * 125) = 2685/1875 + 250/1875
Step 7: Finally, add the numerators while keeping the common denominator:
2685/1875 + 250/1875 = (2685 + 250)/1875
Step 8: Simplify the numerator:
(2685 + 250)/1875 = 2935/1875
Therefore, the sum of the fractions 96/125, 83/125, and 2/15 when simplified is 2935/1875.