Hi, from your question it appears that your child has been tested for basic blood investigations. As you stated that they are normal ( though in these situations it is always prudent to upload the reports), this essentially rules out blood clotting and bleeding disorders as well as platelet quantitative disorders, though doesn't rule out platelet quantitative disorders.
The common causes of increased fragility are either genetic ( which would have presented early on, so less chances, infections ( from what you have stated, chances of infection are less), or
vitamin or micronutrient deficiencies and some rarer causes.
Is she on any steroids as medication?
Next Steps
upload reports
complete history including medications
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vitamin C as deficiency can cause fragile skin, but also bleeding from gums ( not always)