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To simplify the expression, we can follow the order of operations (PEMDAS/BODMAS).
Step 1: Multiply the fractions:
(-3/21) * (-7/8) = 21/168
Step 2: Add the fractions:
4/7 + 21/168
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 7 and 168 is 168.
Step 3: Convert the fractions to have a common denominator:
4/7 + 21/168 = (4 * 24/7 * 24) + (21/168) = 96/168 + 21/168
Step 4: Add the fractions:
96/168 + 21/168 = (96 + 21)/168 = 117/168
Therefore, the simplified form of the expression 4/7 + (-3/21) * (-7/8) is 117/168.
Starting with the innermost set of parentheses:
(-3/21)*(-7/8) = 1/8
Substituting that back into the original expression:
4/7 + 1/8 = 29/56
Therefore, the simplified expression is 29/56.
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Verified answer
,
To simplify the expression, we can follow the order of operations (PEMDAS/BODMAS).
Step 1: Multiply the fractions:
(-3/21) * (-7/8) = 21/168
Step 2: Add the fractions:
4/7 + 21/168
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 7 and 168 is 168.
Step 3: Convert the fractions to have a common denominator:
4/7 + 21/168 = (4 * 24/7 * 24) + (21/168) = 96/168 + 21/168
Step 4: Add the fractions:
96/168 + 21/168 = (96 + 21)/168 = 117/168
Therefore, the simplified form of the expression 4/7 + (-3/21) * (-7/8) is 117/168.
Starting with the innermost set of parentheses:
(-3/21)*(-7/8) = 1/8
Substituting that back into the original expression:
4/7 + 1/8 = 29/56
Therefore, the simplified expression is 29/56.